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受欢迎的代数 >

x^4-101x^2+100=0

解答

x^{4} - 101 x^{2} + 100 = 0

解答

x = 10, x = - 10, x = 1, x = - 1

求解步骤

x^{4} - 101 x^{2} + 100 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 101 u + 100 = 0

解

u^{2} - 101 u + 100 = 0 : u = 100, u = 1

u = 100, u = 1

代回

u = x^{2}

，求解

x

解

x^{2} = 100 : x = 10, x = - 10

解

x^{2} = 1 : x = 1, x = - 1

解为

x = 10, x = - 10, x = 1, x = - 1

作图

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