f2x^2-7x+6=0 eching

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

f_2 uchun yechish

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

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7x ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

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

Ikkala tarafdan 6 ni ayirish.

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

Tenglama standart shaklda.

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

Ikki tarafini x^{2} ga bo‘ling.

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

x^{2} ga bo'lish x^{2} ga ko'paytirishni bekor qiladi.

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

x uchun yechish (complex solution)

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

x uchun yechish

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