Solve for y
y=-\frac{x^{2}}{2}+\frac{7}{4}
Solve for x (complex solution)
x=-\frac{\sqrt{14-8y}}{2}
x=\frac{\sqrt{14-8y}}{2}
Solve for x
x=\frac{\sqrt{14-8y}}{2}
x=-\frac{\sqrt{14-8y}}{2}\text{, }y\leq \frac{7}{4}
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8y=14-4x^{2}
Subtract 4x^{2} from both sides.
\frac{8y}{8}=\frac{14-4x^{2}}{8}
Divide both sides by 8.
y=\frac{14-4x^{2}}{8}
Dividing by 8 undoes the multiplication by 8.
y=-\frac{x^{2}}{2}+\frac{7}{4}
Divide 14-4x^{2} by 8.
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