f(x)=alpha/x eching

$$f ( x ) = \frac { \alpha } { x }$$

f uchun yechish

$$f=\frac{\alpha }{x^{2}}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini x ga ko'paytirish.

$$fxx=\alpha$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$fx^{2}=\alpha$$

Tenglama standart shaklda.

$$x^{2}f=\alpha$$

Ikki tarafini x^{2} ga bo‘ling.

$$\frac{x^{2}f}{x^{2}}=\frac{\alpha }{x^{2}}$$

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

$$f=\frac{\alpha }{x^{2}}$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=-f^{-\frac{1}{2}}\sqrt{\alpha }\text{; }x=f^{-\frac{1}{2}}\sqrt{\alpha }\text{, }&\alpha \neq 0\text{ and }f\neq 0\\x\neq 0\text{, }&\alpha =0\text{ and }f=0\end{matrix}\right,$$

x uchun yechish

$$\left\{\begin{matrix}x=\sqrt{\frac{\alpha }{f}}\text{; }x=-\sqrt{\frac{\alpha }{f}}\text{, }&\left(f<0\text{ and }\alpha <0\right)\text{ or }\left(f>0\text{ and }\alpha >0\right)\\x\neq 0\text{, }&\alpha =0\text{ and }f=0\end{matrix}\right,$$