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受欢迎的代数 >

(x^3-1)/(8x)=0

解答

\frac{x ^{3} - 1}{8 x} = 0

解答

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

求解步骤

\frac{x ^{3} - 1}{8 x} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x^{3} - 1 = 0

解

x^{3} - 1 = 0 : x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

作图

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