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受欢迎的代数 >

x^4-7x^2-30=0

解答

x^{4} - 7 x^{2} - 30 = 0

解答

x = 10, x = - 10, x = 3 i, x = - 3 i

求解步骤

x^{4} - 7 x^{2} - 30 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 7 u - 30 = 0

解

u^{2} - 7 u - 30 = 0 : u = 10, u = - 3

u = 10, u = - 3

代回

u = x^{2}

，求解

x

解

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

解

x^{2} = - 3 : x = 3 i, x = - 3 i

解为

x = 10, x = - 10, x = 3 i, x = - 3 i

作图

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