Solve for y
y=\frac{x^{2}}{2}-\frac{7}{4}
Solve for x (complex solution)
x=-\frac{\sqrt{8y+14}}{2}
x=\frac{\sqrt{8y+14}}{2}
Solve for x
x=\frac{\sqrt{8y+14}}{2}
x=-\frac{\sqrt{8y+14}}{2}\text{, }y\geq -\frac{7}{4}
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4y=2x^{2}-7
The equation is in standard form.
\frac{4y}{4}=\frac{2x^{2}-7}{4}
Divide both sides by 4.
y=\frac{2x^{2}-7}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{x^{2}}{2}-\frac{7}{4}
Divide 2x^{2}-7 by 4.
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