Solve for k
k=9x+\frac{4}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{\sqrt{k^{2}-144}+k}{18}
x=\frac{-\sqrt{k^{2}-144}+k}{18}
Solve for x
x=\frac{\sqrt{k^{2}-144}+k}{18}
x=\frac{-\sqrt{k^{2}-144}+k}{18}\text{, }|k|\geq 12
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-kx+4=-9x^{2}
Subtract 9x^{2} from both sides. Anything subtracted from zero gives its negation.
-kx=-9x^{2}-4
Subtract 4 from both sides.
\left(-x\right)k=-9x^{2}-4
The equation is in standard form.
\frac{\left(-x\right)k}{-x}=\frac{-9x^{2}-4}{-x}
Divide both sides by -x.
k=\frac{-9x^{2}-4}{-x}
Dividing by -x undoes the multiplication by -x.
k=9x+\frac{4}{x}
Divide -9x^{2}-4 by -x.
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
Arithmetic
699 * 533
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
\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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}