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受欢迎的代数 >

x^4-49=0

解答

x^{4} - 49 = 0

解答

x = 7, x = - 7, x = 7 i, x = - 7 i

求解步骤

x^{4} - 49 = 0

将

49

到右边

x^{4} = 49

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = 49

解

u^{2} = 49 : u = 49, u = - 49

u = 49, u = - 49

代回

u = x^{2}

，求解

x

解

x^{2} = 49 : x = 7, x = - 7

解

x^{2} = - 49 : x = 7 i, x = - 7 i

解为

x = 7, x = - 7, x = 7 i, x = - 7 i

作图

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