Solve y=x^2-a

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

Solve for a

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Subtract x^{2} from both sides.

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

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide y-x^{2} by -1.

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

Solve for x (complex solution)

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

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

Solve for x

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

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