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受欢迎的代数 >

30x^4+30x^2=0

解答

30 x^{4} + 30 x^{2} = 0

解答

x = 0, x = i, x = - i

求解步骤

30 x^{4} + 30 x^{2} = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

30 u^{2} + 30 u = 0

解

30 u^{2} + 30 u = 0 : u = 0, u = - 1

u = 0, u = - 1

代回

u = x^{2}

，求解

x

解

x^{2} = 0 : x = 0

解

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

解为

x = 0, x = i, x = - i

作图

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