x^3=-115

解

x^{3} = - 115

x = - 3115, x = - \frac{3 115 ( - 1 + 3 i )}{2}, x = - \frac{3 115 ( - 1 - 3 i )}{2}

解答ステップ

x^{3} = - 115

x^{3} = f (a)

では, 解は

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

x = 3 - 115, x = 3 - 115 \frac{- 1 + 3 i}{2}, x = 3 - 115 \frac{- 1 - 3 i}{2}

3 - 115 = - 3115

簡素化

3 - 115 \frac{- 1 + 3 i}{2} : - \frac{3 115 ( - 1 + 3 i )}{2}

簡素化

3 - 115 \frac{- 1 - 3 i}{2} : - \frac{3 115 ( - 1 - 3 i )}{2}

x = - 3115, x = - \frac{3 115 ( - 1 + 3 i )}{2}, x = - \frac{3 115 ( - 1 - 3 i )}{2}