Réitigh f2x^2-7x+6=0

$$f 2 x ^ { 2 } - 7 x + 6 = 0$$

Réitigh do f_2.

$$f_{2}=-\frac{6-7x}{x^{2}}$$

$$x\neq 0$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Cuir 7x leis an dá thaobh. Is ionann rud ar bith móide nialas agus a shuim féin.

$$f_{2}x^{2}+6=7x$$

Bain 6 ón dá thaobh.

$$f_{2}x^{2}=7x-6$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$x^{2}f_{2}=7x-6$$

Roinn an dá thaobh faoi x^{2}.

$$\frac{x^{2}f_{2}}{x^{2}}=\frac{7x-6}{x^{2}}$$

Má roinntear é faoi x^{2} cuirtear an iolrúchán faoi x^{2} ar ceal.

$$f_{2}=\frac{7x-6}{x^{2}}$$

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{49-24f_{2}}+7}{2f_{2}}\text{; }x=\frac{-\sqrt{49-24f_{2}}+7}{2f_{2}}\text{, }&f_{2}\neq 0\\x=\frac{6}{7}\text{, }&f_{2}=0\end{matrix}\right.$$

Réitigh do x.

$$\left\{\begin{matrix}x=\frac{\sqrt{49-24f_{2}}+7}{2f_{2}}\text{; }x=\frac{-\sqrt{49-24f_{2}}+7}{2f_{2}}\text{, }&f_{2}\neq 0\text{ and }f_{2}\leq \frac{49}{24}\\x=\frac{6}{7}\text{, }&f_{2}=0\end{matrix}\right.$$