Solve for y
y=1-2x^{2}
Solve for x (complex solution)
x=-\frac{\sqrt{2-2y}}{2}
x=\frac{\sqrt{2-2y}}{2}
Solve for x
x=\frac{\sqrt{2-2y}}{2}
x=-\frac{\sqrt{2-2y}}{2}\text{, }y\leq 1
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-y=2x^{2}-1
Subtract 1 from both sides.
\frac{-y}{-1}=\frac{2x^{2}-1}{-1}
Divide both sides by -1.
y=\frac{2x^{2}-1}{-1}
Dividing by -1 undoes the multiplication by -1.
y=1-2x^{2}
Divide 2x^{2}-1 by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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