解 x (復數求解)
x=\frac{\sqrt[3]{2}\times 9^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(2\sqrt[3]{\sqrt{330}+18}+\sqrt[3]{\sqrt{330}-18}+\sqrt[3]{9\left(\sqrt{110}-6\sqrt{3}\right)}i\right)}{36}\approx 0.835122348+2.022940437i
x=\frac{\sqrt[3]{2}\times 9^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{330}-18}-\sqrt[3]{\sqrt{330}+18}\right)}{9}\approx -1.670244697
x=\frac{\sqrt[3]{2}\times 9^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(-\sqrt[3]{9\left(\sqrt{110}-6\sqrt{3}\right)}i+2\sqrt[3]{\sqrt{330}+18}+\sqrt[3]{\sqrt{330}-18}\right)}{36}\approx 0.835122348-2.022940437i
解 x
x=\frac{\sqrt[3]{2}\times 9^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{330}-18}-\sqrt[3]{\sqrt{330}+18}\right)}{9}\approx -1.670244697
圖表
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已復制到剪貼板
示例
二次方程式
{ x } ^ { 2 } - 4 x - 5 = 0
三角學
4 \sin \theta \cos \theta = 2 \sin \theta
線性方程
y = 3x + 4
算術
699 * 533
矩陣
\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]
聯立方程
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
微分
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
積分
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
限制
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}