解 x、y、z (復數求解)
x=d+\frac{\sqrt{-4d-7}}{2}-\frac{1}{2}\text{, }y=\frac{-\sqrt{-4d-7}+1}{2}\text{, }z=d
x=d-\frac{\sqrt{-4d-7}}{2}-\frac{1}{2}\text{, }y=\frac{\sqrt{-4d-7}+1}{2}\text{, }z=d\text{, }a=c\text{ and }d=c\text{ and }b=c
解 x、y、z
x=b+\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{-\sqrt{-4b-7}+1}{2}\text{, }z=b
x=b-\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{\sqrt{-4b-7}+1}{2}\text{, }z=b\text{, }b=d\text{ and }a=d\text{ and }c=d\text{ and }d\leq -\frac{7}{4}
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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}