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受欢迎的代数 >

x^4-40x^2+144=0

解答

x^{4} - 40 x^{2} + 144 = 0

解答

x = 6, x = - 6, x = 2, x = - 2

求解步骤

x^{4} - 40 x^{2} + 144 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 40 u + 144 = 0

解

u^{2} - 40 u + 144 = 0 : u = 36, u = 4

u = 36, u = 4

代回

u = x^{2}

，求解

x

解

x^{2} = 36 : x = 6, x = - 6

解

x^{2} = 4 : x = 2, x = - 2

解为

x = 6, x = - 6, x = 2, x = - 2

作图

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