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