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受欢迎的代数 >

(x^4)/(8+1)=33

解答

\frac{x ^{4}}{8 + 1} = 33

解答

x = 4 3^{3} 411, x = - 4 3^{3} 411, x = 3433 i, x = - 3433 i

求解步骤

\frac{x ^{4}}{8 + 1} = 33

在两边乘以

8 + 1

x^{4} = 297

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = 297

解

u^{2} = 297 : u = 297, u = - 297

u = 297, u = - 297

代回

u = x^{2}

，求解

x

解

x^{2} = 297 : x = 4 3^{3} 411, x = - 4 3^{3} 411

解

x^{2} = - 297 : x = 3433 i, x = - 3433 i

解为

x = 4 3^{3} 411, x = - 4 3^{3} 411, x = 3433 i, x = - 3433 i

作图

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