{"id":51,"date":"2023-06-26T18:31:12","date_gmt":"2023-06-26T18:31:12","guid":{"rendered":"https:\/\/physigeek.com\/it\/formule-chiare\/"},"modified":"2023-06-26T18:31:12","modified_gmt":"2023-06-26T18:31:12","slug":"formule-chiare","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/formule-chiare\/","title":{"rendered":"Formule chiare"},"content":{"rendered":"<p>In questo articolo troverai le regole per cancellare le formule. Spiega come risolvere una formula risolvendo un esempio e, inoltre, puoi esercitarti con esercizi risolti passo dopo passo per risolvere le formule. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Reglas-para-despejar-formulas\"><\/span>Regole per cancellare le formule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Le <strong>regole utilizzate per risolvere le formule<\/strong> sono:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un termine viene aggiunto a un lato della formula, pu\u00f2 essere passato sottraendo dall&#8217;altro lato.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3d7866c0ef712774e421a5396fa6500e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A+B=C \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{noir}\\quad A=CB\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"281\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un termine sottrae da un lato dell&#8217;equazione, pu\u00f2 essere passato aggiungendo all&#8217;altro lato.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3bd660464775bec1eceeca0bce0a6533_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"AB=C \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{noir}\\quad A=C+B\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"281\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un termine moltiplica un membro della formula, pu\u00f2 essere passato dividendo l&#8217;altro membro.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d7d4b6557587e426f2b88642db499a49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot (B+C)=D \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{black}\\quad B+C=\\cfrac{D}{A}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"356\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un termine divide un intero lato della formula, pu\u00f2 essere passato moltiplicando sull&#8217;altro lato.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0df8def75421991fe6bdb88904276250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{A+B}{C}=D \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{noir}\\quad A+B=D\\cdot C\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"332\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un membro viene elevato a un esponente, il problema pu\u00f2 essere risolto estraendo la radice di quell&#8217;esponente nell&#8217;altro membro.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-77c5387f7521ceec319a0c829f4041bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A+B)^2=C+D \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{noir}\\quad A+B=\\sqrt{C+D}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"412\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Se un intero lato di una formula \u00e8 sotto il segno di radice, puoi trovare la radice elevando l&#8217;altro lato all&#8217;indice della radice.<\/span><\/li>\n<p style=\"text-align:center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a8c40f507cc69fecb09c4982caf1429a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{A+B}=C+D \\quad\\color{bleu}\\bm{\\longrightarrow}\\color{noir}\\quad A+B=(C+D)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"412\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ul>\n<p> In sintesi, la regola base per risolvere una formula \u00e8 che per cambiare lato \u00e8 necessario posizionare una variabile dall&#8217;altro lato eseguendo l&#8217;operazione inversa.<\/p>\n<p> Queste regole costituiscono la base per risolvere le formule sia in fisica che in matematica, poich\u00e9 la procedura per isolare una variabile \u00e8 la stessa indipendentemente dalla disciplina scientifica.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-despejar-formulas\"><\/span> Come cancellare le formule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Per risolvere un&#8217;incognita da una formula,<\/strong> \u00e8 necessario applicare le regole di risoluzione delle formule, che si riducono al fatto che un termine pu\u00f2 cambiare lato eseguendo l&#8217;operazione inversa.<\/p>\n<p> Nella sezione precedente, hai spiegato tutte le leggi per risolvere le formule in modo pi\u00f9 dettagliato.<\/p>\n<p> Tieni presente che normalmente i termini che aggiungono e sottraggono devono essere prima modificati dal lato della formula, poich\u00e9 la risoluzione di prodotti, divisioni, esponenti e radici pu\u00f2 essere eseguita solo se l&#8217;operazione viene applicata all&#8217;intero lato della formula.<\/p>\n<p> Ad esempio, per isolare la variabile B dalla seguente formula, dovresti prima passare l&#8217;elemento C sull&#8217;altro lato, quindi dividere l&#8217;intero lato destro per A:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3d6dab6dcd6eef6d80c140e76b9fb87e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot B+C=D\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"115\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-500793e78870717abdd27cc11eb3d70c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot B=DC\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"93\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5378828b72b438866c1597502005983a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B=\\cfrac{DC}{A}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"70\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Inoltre \u00e8 necessario rispettare le parentesi. Ad esempio, se un termine moltiplica una parentesi e vogliamo trovare un&#8217;incognita all&#8217;interno della parentesi, dobbiamo prima isolare la parentesi e poi risolvere l&#8217;incognita al suo interno.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-582675cbf6eea2cc6044e533b3ae3d9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot (B+C)=D\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-750303d20431978b8a5569b7aaea5aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B+C=\\cfrac{D}{A}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-27bfdedff9ffb35b3e0011851c548305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B=\\cfrac{D}{A}-C\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"91\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-despejar-una-formula\"><\/span> Esempio di eliminazione di una formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Per poter vedere come cancellare una variabile da una formula, di seguito puoi vedere un esempio concreto di cancellazione di una formula.<\/p>\n<ul>\n<li> Risolvi l&#8217;ignoto\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalla formula della legge di Coulomb:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0d441b62328166fe0550a6d0f8087728_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=K\\cfrac{q_1\\cdot q_2}{r^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Il termine<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-19db2644cdc31d7e9f0115deb1e187cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> divide l&#8217;intero lato destro della formula, poich\u00e9 la seguente espressione algebrica \u00e8 equivalente alla precedente:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-98ca74d61e1c99a99ddd35905b8d775e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{K\\cdot q_1\\cdot q_2}{r^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Pertanto, possiamo moltiplicare il termine<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4a367b9f68bd3041f6af61013a23b6a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r^2 par tout le c\u00f4t\u00e9 gauche.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" style=\"vertical-align: -4px;\"><\/p>\n<p> Tieni presente che il lato va cambiato con il quadrato incluso.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b1508bf48ea48d8092e41723fc016b57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\\cdot r^2=K\\cdot q_1\\cdot q_2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Ora possiamo passare la variabile<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dall&#8217;altra parte dell&#8217;equazione di divisione perch\u00e9 moltiplica l&#8217;intero lato sinistro:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a75476c44c45fa4632f4c4b17cf62ec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" r^2=\\cfrac{K\\cdot q_1\\cdot q_2}{F}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> E infine, rimuovere l&#8217;esponente e isolare il termine<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> devi prendere la radice quadrata del lato destro della formula:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e52261e36e3ac5586d20b086eaaf3049_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r=\\sqrt{\\frac{K\\cdot q_1\\cdot q_2}{F}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"128\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> In questo modo siamo riusciti a cancellare la variabile dalla formula. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-despejar-una-formula\"><\/span> Risolti i problemi relativi alla cancellazione di una formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Di seguito ti lasciamo diversi esercizi di chiarimento delle formule risolti in modo che tu possa esercitarti. Allo stesso modo, se hai domande su un esercizio o non sai come risolvere un&#8217;equazione, ricorda che puoi chiedercelo nei commenti qui sotto.<\/p>\n<h3 class=\"wp-block-heading\"> Esercizio 1<\/h3>\n<p> Risolvi l&#8217;ignoto<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalla seguente formula: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-625a5d4e487d2f14df3bebf13bbb6338_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3C+2C(2A-5B)=7C+2B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Vedi la soluzione<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Per prima cosa restituiamo l&#8217;elemento<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9105ff0742eac2ddd94cc9dce54b63e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> avere solo la moltiplicazione sul lato sinistro. Poich\u00e9 ha un segno positivo, lo passiamo all&#8217;altro membro con segno negativo:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec9fb68ff1e6d2fced78349655e77fbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2C(2A-5B)=7C+2B-3C\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"240\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Semplifichiamo il secondo membro operando con i termini che hanno la stessa incognita:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ff5503b2db7d7b97962ebd70450044f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2C(2A-5B)=4C+2B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Ora abbiamo il termine<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-526df3930d3759ad400fb2cbd3510482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> moltiplicato per l&#8217;intero lato sinistro dell&#8217;equazione, quindi possiamo passarlo al lato destro dividendo:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6cab840ff7ad89ea7579667fa800be47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2A-5B=\\cfrac{4C+2B}{2C}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Semplifichiamo la frazione:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-98f75b26bc35e92b2988889e8b618c04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2A-5B=\\cfrac{2C+B}{C}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"152\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Il termine<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a6d86323c5b439cee2d0ebf006857883_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5B\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> sta sottraendo, cambiamo quindi il suo membro aggiungendo:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b7872fb7fb79140113d9591ca6c8eaf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2A=\\cfrac{2C+B}{C}+5B\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"151\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Infine, il 2 moltiplica tutti gli elementi sul lato sinistro della formula, quindi possiamo trasmetterlo dividendo tutti gli elementi sull&#8217;altro lato: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bbd00e288b9ade469f5039113fec6cdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\cfrac{2C+B}{2C}+\\cfrac{5B}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"145\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Esercizio 2<\/h3>\n<p> Cancella la variabile<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> della seguente formula: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cacd0dcf6f32e96c45bc7132be078724_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f=\\cfrac{k\\cdot s}{sr}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Vedi la soluzione<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Innanzitutto, passiamo il denominatore della frazione all&#8217;altro lato moltiplicando. Tieni presente che possiamo fare questo passaggio perch\u00e9 il denominatore divide l&#8217;intero lato destro:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9549c76452d3af971638e290b3fcd01d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(sr)\\cdot f=k\\cdot s\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Scartiamo le parentesi:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd21ebd3e465aed9db35f14fbb3bf452_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\\cdot fr\\cdot f=k\\cdot s\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"118\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Ora mettiamo tutti gli elementi con<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> da un lato dell&#8217;equazione e gli altri termini dall&#8217;altro:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b127c9b7fca2b2f5c71937fa7d088784_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\\cdot fk\\cdot s=r\\cdot f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"118\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Estraiamo il fattore comune nel membro di sinistra:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c109d7612df40a8d9a780a71a583d9f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s(fk)=r\\cdot f\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> E infine, passiamo le parentesi che moltiplicano dall&#8217;altra parte dell&#8217;equazione dividendo: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-836b561c08f3954dab9c88992c487d36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s=\\cfrac{r\\cdot f}{fk}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"66\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Esercizio 3<\/h3>\n<p> Cancellare la x dalla seguente equazione: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-87a5afee7f677cc4e65edcaa2cbfe4b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x-5y=4x+\\cfrac{7z-2x}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Vedi la soluzione<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> In questo caso abbiamo un termine con x al numeratore di una frazione, quindi dovremo prima risolvere il quoziente per poter rimuovere il denominatore.<\/p>\n<p class=\"has-text-align-left\"> Quindi andiamo 4x dall&#8217;altra parte della formula. Dato che stai sommando a destra, andrai a sinistra sottraendo:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b14b29dafc238bc028a8e9d25a209a17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x-5y-4x=\\cfrac{7z-2x}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> In secondo luogo, passiamo la divisione 6 da destra all&#8217;altro lato moltiplicandola. Possiamo fare questo passaggio solo quando il divisore divide tutti i termini da un lato, quindi prima abbiamo dovuto invertire i lati del 4x.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8e0fbbf24540272e5784e9d8101ebd12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\\cdot (3x-5y-4x)=7z-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Risolviamo la moltiplicazione:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0c09ef91a301d0635afc4c1c1f46b17a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"18x-30y-24x=7z-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"207\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Spostiamo tutti i termini con x a sinistra e gli altri elementi a destra:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f9681102641ea780fbd3fa298f1cca7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"18x-24x+2x=7z+30y\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"207\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Aggiungiamo e sottraiamo termini simili:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-059c2ba4588a70a43c2ca4f5a184df34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4x=7z+30y\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Quindi, per risolvere la x nella formula, dividi semplicemente il coefficiente di x: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bc35a4a9b13b8939e96885866540feb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{7z+30y}{-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"103\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Esercizio 4<\/h3>\n<p> Isolare il parametro<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d6abdd487c56e5efbb2c9522ed4b9360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> della seguente formula: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-709c544afbec6f88dbe963d6e58f837a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{d+4K^2-\\frac{5}{\\sqrt{6R}}}{2T-5\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Vedi la soluzione<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Per prima cosa moltiplichiamo i termini che dividono l&#8217;altro membro della formula:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bee5644a057d236b8c77bbae0c994787_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2T-5\\pi)\\cdot P=d+4K^2-\\cfrac{5}{\\sqrt{6R}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"251\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Risolviamo la frazione a destra passando gli altri termini all&#8217;altro capo eseguendo l&#8217;operazione inversa:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-023157d53f67d0dfba90b67a80159360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2T-5\\pi)\\cdot Pd-4K^2=-\\cfrac{5}{\\sqrt{6R}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"244\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> La radice divide l&#8217;intero lato destro della formula, quindi la passiamo moltiplicando l&#8217;altro lato:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-82652554996a49888d7cc4c598154396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{6R}\\cdot \\Bigl[(2T-5\\pi)\\cdot Pd-4K^2\\Bigr]=-5\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"279\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dividiamo le parentesi sull&#8217;altro lato:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-883536db0dd0af29916a3f1398d2558e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{6R}=\\cfrac{-5}{(2T-5\\pi)\\cdot Pd-4K^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"230\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Quadratiamo l&#8217;intero lato destro della formula per rimuovere la radice quadrata: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5c96f1e288f3e5a3eb7a457396bb80f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 6R=\\left(\\frac{-5}{(2T-5\\pi)\\cdot Pd-4K^2}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"250\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d500886df35d319311821f4e5e2b8cad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 6R=\\frac{(-5)^2}{\\Bigl((2T-5\\pi)\\cdot Pd-4K^2\\Bigr)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"245\" style=\"vertical-align: -33px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-53bd41d659627408d95dca7d50c5f7f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 6R=\\frac{25}{\\Bigl((2T-5\\pi)\\cdot Pd-4K^2\\Bigr)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"245\" style=\"vertical-align: -33px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Infine, passiamo il coefficiente del parametro da risolvere dalla formula all&#8217;altro membro: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3948ad703728baa8e3d8c31840754a66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle R=\\frac{25}{6\\cdot \\Bigl((2T-5\\pi)\\cdot Pd-4K^2\\Bigr)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"257\" style=\"vertical-align: -33px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In questo articolo troverai le regole per cancellare le formule. Spiega come risolvere una formula risolvendo un esempio e, inoltre, puoi esercitarti con esercizi risolti passo dopo passo per risolvere le formule. Regole per cancellare le formule Le regole utilizzate per risolvere le formule sono: Se un termine viene aggiunto a un lato della formula, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/formule-chiare\/\"> <span class=\"screen-reader-text\">Formule chiare<\/span> Leggi altro &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-equazioni"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Come risolvere le formule (esercizi risolti)<\/title>\n<meta name=\"description\" content=\"Spieghiamo come eliminare una formula (regole per cancellare le formule). 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