Solve for y
y=x+\frac{9}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{\sqrt{y^{2}-36}+y}{2}
x=\frac{-\sqrt{y^{2}-36}+y}{2}
Solve for x
x=\frac{\sqrt{y^{2}-36}+y}{2}
x=\frac{-\sqrt{y^{2}-36}+y}{2}\text{, }|y|\geq 6
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-yx+9=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-yx=-x^{2}-9
Subtract 9 from both sides.
\left(-x\right)y=-x^{2}-9
The equation is in standard form.
\frac{\left(-x\right)y}{-x}=\frac{-x^{2}-9}{-x}
Divide both sides by -x.
y=\frac{-x^{2}-9}{-x}
Dividing by -x undoes the multiplication by -x.
y=x+\frac{9}{x}
Divide -x^{2}-9 by -x.
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
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
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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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