解 a
a=\frac{\sqrt{3}i\sqrt[3]{36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)}}{665940}+\sqrt{3}\left(\frac{1}{2}+\frac{1}{665940}i\right)\left(36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)\right)^{-\frac{1}{3}}-\frac{\sqrt[3]{36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)}}{665940}+\left(\frac{1}{665940}-\frac{1}{2}i\right)\left(36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)\right)^{-\frac{1}{3}}+\left(-1-\frac{1}{332970}i\right)\approx -1.017948427+0.010276224i
a=\frac{\sqrt[3]{36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)}}{332970}+\left(-\frac{1}{332970}+i\right)\left(36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)\right)^{-\frac{1}{3}}+\left(-1-\frac{1}{332970}i\right)\approx -0.98190722+0.010526171i
a=-\frac{\sqrt{3}i\sqrt[3]{36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)}}{665940}+\sqrt{3}\left(-\frac{1}{2}-\frac{1}{665940}i\right)\left(36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)\right)^{-\frac{1}{3}}-\frac{\sqrt[3]{36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)}}{665940}+\left(\frac{1}{665940}-\frac{1}{2}i\right)\left(36916057889073000\sqrt{-\frac{66521412541}{3277850612086569816000}+\frac{1}{6712010525286000}i}+\left(499455+166303531351i\right)\right)^{-\frac{1}{3}}+\left(-1-\frac{1}{332970}i\right)\approx -1.000144353-0.020811405i
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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}