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受欢迎的代数 >

4x^4=10

解答

4 x^{4} = 10

解答

x = \frac{5}{2}, x = - \frac{5}{2}, x = - \frac{5}{2}, x = - - \frac{5}{2}

求解步骤

4 x^{4} = 10

两边除以

4

x^{4} = \frac{5}{2}

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = \frac{5}{2}

解

u^{2} = \frac{5}{2} : u = \frac{5}{2}, u = - \frac{5}{2}

u = \frac{5}{2}, u = - \frac{5}{2}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{5}{2} : x = \frac{5}{2}, x = - \frac{5}{2}

解

x^{2} = - \frac{5}{2} : x = - \frac{5}{2}, x = - - \frac{5}{2}

解为

x = \frac{5}{2}, x = - \frac{5}{2}, x = - \frac{5}{2}, x = - - \frac{5}{2}

作图

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