Solve for u (complex solution)
u=-\sqrt{z\left(x^{2}-1\right)}
u=\sqrt{z\left(x^{2}-1\right)}\text{, }z\neq 0
Solve for x (complex solution)
x=-\sqrt{\frac{z+u^{2}}{z}}
x=\sqrt{\frac{z+u^{2}}{z}}\text{, }z\neq 0
Solve for u
u=\sqrt{z\left(x^{2}-1\right)}
u=-\sqrt{z\left(x^{2}-1\right)}\text{, }\left(z<0\text{ and }|x|\leq 1\right)\text{ or }\left(z>0\text{ and }|x|\geq 1\right)
Solve for x
x=\sqrt{\frac{z+u^{2}}{z}}
x=-\sqrt{\frac{z+u^{2}}{z}}\text{, }z>0\text{ or }\left(z\neq 0\text{ and }|u|\leq \sqrt{-z}\right)
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}