Solve for y
y=-\frac{x^{2}}{2}+1
Solve for x (complex solution)
x=-\sqrt{2-2y}
x=\sqrt{2-2y}
Solve for x
x=\sqrt{2-2y}
x=-\sqrt{2-2y}\text{, }y\leq 1
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2y=2-x^{2}
Subtract x^{2} from both sides.
\frac{2y}{2}=\frac{2-x^{2}}{2}
Divide both sides by 2.
y=\frac{2-x^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x^{2}}{2}+1
Divide 2-x^{2} by 2.
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