Solve for y
y=\frac{x^{2}}{2}-\frac{13}{6}
Solve for x (complex solution)
x=-\frac{\sqrt{18y+39}}{3}
x=\frac{\sqrt{18y+39}}{3}
Solve for x
x=\frac{\sqrt{18y+39}}{3}
x=-\frac{\sqrt{18y+39}}{3}\text{, }y\geq -\frac{13}{6}
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-6y=13-3x^{2}
Subtract 3x^{2} from both sides.
\frac{-6y}{-6}=\frac{13-3x^{2}}{-6}
Divide both sides by -6.
y=\frac{13-3x^{2}}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x^{2}}{2}-\frac{13}{6}
Divide 13-3x^{2} by -6.
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Limits
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