\left\{ \begin{array} { l } { x ^ { 4 } + y ^ { 2 } = 1 } \\ { y = x } \end{array} \right.
解 x、y (復數求解)
x=\frac{i\sqrt{2\left(\sqrt{5}+1\right)}}{2}\approx 1.27201965i\text{, }y=\frac{i\sqrt{2\left(\sqrt{5}+1\right)}}{2}\approx 1.27201965i
x=-\frac{i\sqrt{2\left(\sqrt{5}+1\right)}}{2}\approx -0-1.27201965i\text{, }y=-\frac{i\sqrt{2\left(\sqrt{5}+1\right)}}{2}\approx -0-1.27201965i
x=\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx 0.786151378\text{, }y=\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx 0.786151378
x=-\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx -0.786151378\text{, }y=-\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx -0.786151378
解 x、y
x=-\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx -0.786151378\text{, }y=-\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx -0.786151378
x=\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx 0.786151378\text{, }y=\frac{\sqrt{2\left(\sqrt{5}-1\right)}}{2}\approx 0.786151378
圖表
共享
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}