Solve for x (complex solution)
x=\frac{\left(1+\sqrt{3}i\right)\left(\sqrt[3]{12\sqrt{52737}+2161}+2\sqrt[3]{12\sqrt{52737}-2161}-11+\sqrt[3]{3\left(36\sqrt{17579}+2161\sqrt{3}\right)}i+11\sqrt{3}i\right)}{96}\approx -0.637389357+0.917046807i
x=\frac{\sqrt[3]{12\sqrt{52737}+2161}-\sqrt[3]{12\sqrt{52737}-2161}-11}{24}\approx -0.100221286
x=\frac{\left(-\sqrt{3}i+1\right)\left(-\sqrt[3]{3\left(36\sqrt{17579}+2161\sqrt{3}\right)}i+\sqrt[3]{12\sqrt{52737}+2161}+2\sqrt[3]{12\sqrt{52737}-2161}-11\sqrt{3}i-11\right)}{96}\approx -0.637389357-0.917046807i
Solve for x
x = \frac{\sqrt[3]{12 \sqrt{52737} + 2161} + \sqrt[3]{2161 - 12 \sqrt{52737}} - 11}{24} \approx 0.100221286
Graph
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}