x^3=512

解

x^{3} = 512

x = 8, x = - 4 + 43 i, x = - 4 - 43 i

解答ステップ

x^{3} = 512

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 = 3512, x = 3512 \frac{- 1 + 3 i}{2}, x = 3512 \frac{- 1 - 3 i}{2}

3512 = 8

簡素化

3512 \frac{- 1 + 3 i}{2} : - 4 + 43 i

簡素化

3512 \frac{- 1 - 3 i}{2} : - 4 - 43 i

x = 8, x = - 4 + 43 i, x = - 4 - 43 i