x^3=216

解

x^{3} = 216

x = 6, x = - 3 + 33 i, x = - 3 - 33 i

解答ステップ

x^{3} = 216

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 = 3216, x = 3216 \frac{- 1 + 3 i}{2}, x = 3216 \frac{- 1 - 3 i}{2}

3216 = 6

簡素化

3216 \frac{- 1 + 3 i}{2} : - 3 + 33 i

簡素化

3216 \frac{- 1 - 3 i}{2} : - 3 - 33 i

x = 6, x = - 3 + 33 i, x = - 3 - 33 i