( 2 y = - x ^ { 2 } - x + 2
Solve for y
y=-\frac{\left(x-1\right)\left(x+2\right)}{2}
Solve for x (complex solution)
x=\frac{-\sqrt{9-8y}-1}{2}
x=\frac{\sqrt{9-8y}-1}{2}
Solve for x
x=\frac{-\sqrt{9-8y}-1}{2}
x=\frac{\sqrt{9-8y}-1}{2}\text{, }y\leq \frac{9}{8}
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2y=2-x-x^{2}
The equation is in standard form.
\frac{2y}{2}=\frac{\left(1-x\right)\left(x+2\right)}{2}
Divide both sides by 2.
y=\frac{\left(1-x\right)\left(x+2\right)}{2}
Dividing by 2 undoes the multiplication by 2.
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Simultaneous equation
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Integration
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Limits
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