Solve for y
y=-\frac{x^{2}}{2}+\frac{5}{3}
Solve for x (complex solution)
x=-\frac{\sqrt{30-18y}}{3}
x=\frac{\sqrt{30-18y}}{3}
Solve for x
x=\frac{\sqrt{30-18y}}{3}
x=-\frac{\sqrt{30-18y}}{3}\text{, }y\leq \frac{5}{3}
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6y=10-3x^{2}
Subtract 3x^{2} from both sides.
\frac{6y}{6}=\frac{10-3x^{2}}{6}
Divide both sides by 6.
y=\frac{10-3x^{2}}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x^{2}}{2}+\frac{5}{3}
Divide 10-3x^{2} by 6.
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Limits
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