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受欢迎的代数 >

solvefor x,x^4+y^4=0

解答

求解

x, x^{4} + y^{4} = 0

解答

x = \frac{2 y}{2} + i \frac{2 y}{2}, x = - \frac{2 y}{2} - i \frac{2 y}{2}

求解步骤

x^{4} + y^{4} = 0

将

y^{4}

到右边

x^{4} = - y^{4}

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = - y^{4}

解

u^{2} = - y^{4} : u = - y^{4}, u = - - y^{4}

u = - y^{4}, u = - - y^{4}

代回

u = x^{2}

，求解

x

解

x^{2} = - y^{4} : x = \frac{2 y}{2} + i \frac{2 y}{2}, x = - \frac{2 y}{2} - i \frac{2 y}{2}

解

x^{2} = - - y^{4} : x = \frac{2 y}{2} + i \frac{2 y}{2}, x = - \frac{2 y}{2} - i \frac{2 y}{2}

解为

x = \frac{2 y}{2} + i \frac{2 y}{2}, x = - \frac{2 y}{2} - i \frac{2 y}{2}

作图

流行的例子

x^3-5x^2+8x-4=0

x^{3} - 5 x^{2} + 8 x - 4 = 0

x^3+2x^2-5x-6=0

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x^3+4x^2-47x-210=0

x^{3} + 4 x^{2} - 47 x - 210 = 0

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