y^2-x+2=0 eching

$$y ^ { 2 } - x + 2 = 0$$

x uchun yechish

$$x=y^{2}+2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan y^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-x+2=-y^{2}$$

Ikkala tarafdan 2 ni ayirish.

$$-x=-y^{2}-2$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=\frac{-y^{2}-2}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$x=\frac{-y^{2}-2}{-1}$$

-y^{2}-2 ni -1 ga bo'lish.

$$x=y^{2}+2$$

y uchun yechish (complex solution)

$$y=-\sqrt{x-2}$$

$$y=\sqrt{x-2}$$

y uchun yechish

$$y=\sqrt{x-2}$$

$$y=-\sqrt{x-2}\text{, }x\geq 2$$