y+1=(x-1)^2 eching

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

y uchun yechish

$$y=x\left(x-2\right)$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

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

Ikkala tarafdan 1 ni ayirish.

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

0 olish uchun 1 dan 1 ni ayirish.

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

x uchun yechish (complex solution)

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

$$x=\sqrt{y+1}+1$$

x uchun yechish

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

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