y^2-2x+1=0 eching

$$y ^ { 2 } - 2 x + 1 = 0$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-2x+1=-y^{2}$$

Ikkala tarafdan 1 ni ayirish.

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

Ikki tarafini -2 ga bo‘ling.

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

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

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

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

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

y uchun yechish (complex solution)

$$y=-\sqrt{2x-1}$$

$$y=\sqrt{2x-1}$$

y uchun yechish

$$y=\sqrt{2x-1}$$

$$y=-\sqrt{2x-1}\text{, }x\geq \frac{1}{2}$$