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受欢迎的代数 >

x^3=(-125)/(216)

解答

x^{3} = \frac{- 125}{216}

解答

x = - \frac{5}{6}, x = \frac{5}{12} - \frac{5}{4 3} i, x = \frac{5}{12} + \frac{5}{4 3} i

求解步骤

x^{3} = \frac{- 125}{216}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

x^{3} = - \frac{125}{216}

对于

x^{3} = f (a)

解为

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 3 - \frac{125}{216}, x = 3 - \frac{125}{216} \frac{- 1 + 3 i}{2}, x = 3 - \frac{125}{216} \frac{- 1 - 3 i}{2}

3 - \frac{125}{216} = - \frac{5}{6}

化简

3 - \frac{125}{216} \frac{- 1 + 3 i}{2} : \frac{5}{12} - \frac{5}{4 3} i

化简

3 - \frac{125}{216} \frac{- 1 - 3 i}{2} : \frac{5}{12} + \frac{5}{4 3} i

x = - \frac{5}{6}, x = \frac{5}{12} - \frac{5}{4 3} i, x = \frac{5}{12} + \frac{5}{4 3} i

作图

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