Solve for x
x=5y^{2}
Solve for y (complex solution)
y=-\frac{\sqrt{5x}}{5}
y=\frac{\sqrt{5x}}{5}
Solve for y
y=\frac{\sqrt{5x}}{5}
y=-\frac{\sqrt{5x}}{5}\text{, }x\geq 0
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\frac{1}{5}x=y^{2}
Add y^{2} to both sides. Anything plus zero gives itself.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y^{2}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y^{2}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y^{2}
Divide y^{2} by \frac{1}{5} by multiplying y^{2} by the reciprocal of \frac{1}{5}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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