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

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

Ebatzi: y

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

Ebazpidea

\left(x-1\right)^{2} zabaltzeko, erabili Newton-en binomioa \left(a-b\right)^{2}=a^{2}-2ab+b^{2}.

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

Kendu 1 bi aldeetatik.

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

0 lortzeko, 1 balioari kendu 1.

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

Ebatzi: x (complex solution)

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

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

Ebatzi: x

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

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