x^3=-1

解

x^{3} = - 1

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

解答ステップ

x^{3} = - 1

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

3 - 1 = - 1

簡素化

3 - 1 \frac{- 1 + 3 i}{2} : \frac{1}{2} - \frac{3}{2} i

簡素化

3 - 1 \frac{- 1 - 3 i}{2} : \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