Solve for x
x=y-\frac{1}{y}
y\neq 0
Solve for y
y=\frac{\sqrt{x^{2}+4}+x}{2}
y=\frac{-\sqrt{x^{2}+4}+x}{2}
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-xy=1-y^{2}
Subtract y^{2} from both sides.
\left(-y\right)x=1-y^{2}
The equation is in standard form.
\frac{\left(-y\right)x}{-y}=\frac{1-y^{2}}{-y}
Divide both sides by -y.
x=\frac{1-y^{2}}{-y}
Dividing by -y undoes the multiplication by -y.
x=y-\frac{1}{y}
Divide -y^{2}+1 by -y.
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Limits
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