Solve for y
y=\frac{x^{2}-8}{2}
Solve for x (complex solution)
x=-\sqrt{2\left(y+4\right)}
x=\sqrt{2\left(y+4\right)}
Solve for x
x=\sqrt{2\left(y+4\right)}
x=-\sqrt{2\left(y+4\right)}\text{, }y\geq -4
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-2y=8-x^{2}
Subtract x^{2} from both sides.
\frac{-2y}{-2}=\frac{8-x^{2}}{-2}
Divide both sides by -2.
y=\frac{8-x^{2}}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x^{2}}{2}-4
Divide 8-x^{2} by -2.
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