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受欢迎的代数 >

x^4= 1/81

解答

x^{4} = \frac{1}{81}

解答

x = \frac{1}{3}, x = - \frac{1}{3}, x = \frac{1}{3} i, x = - \frac{1}{3} i

求解步骤

x^{4} = \frac{1}{81}

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = \frac{1}{81}

解

u^{2} = \frac{1}{81} : u = \frac{1}{81}, u = - \frac{1}{81}

u = \frac{1}{81}, u = - \frac{1}{81}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{1}{81} : x = \frac{1}{3}, x = - \frac{1}{3}

解

x^{2} = - \frac{1}{81} : x = \frac{1}{3} i, x = - \frac{1}{3} i

解为

x = \frac{1}{3}, x = - \frac{1}{3}, x = \frac{1}{3} i, x = - \frac{1}{3} i

作图

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