Solve for y
y=\frac{x^{2}}{2}-\frac{15}{4}
Solve for x (complex solution)
x=-\frac{\sqrt{8y+30}}{2}
x=\frac{\sqrt{8y+30}}{2}
Solve for x
x=\frac{\sqrt{8y+30}}{2}
x=-\frac{\sqrt{8y+30}}{2}\text{, }y\geq -\frac{15}{4}
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-4y=15-2x^{2}
Subtract 2x^{2} from both sides.
\frac{-4y}{-4}=\frac{15-2x^{2}}{-4}
Divide both sides by -4.
y=\frac{15-2x^{2}}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{x^{2}}{2}-\frac{15}{4}
Divide 15-2x^{2} by -4.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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