x^3=64000

解

x^{3} = 64000

x = 40, x = - 20 + 203 i, x = - 20 - 203 i

解答ステップ

x^{3} = 64000

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 = 364000, x = 364000 \frac{- 1 + 3 i}{2}, x = 364000 \frac{- 1 - 3 i}{2}

364000 = 40

簡素化

364000 \frac{- 1 + 3 i}{2} : - 20 + 203 i

簡素化

364000 \frac{- 1 - 3 i}{2} : - 20 - 203 i

x = 40, x = - 20 + 203 i, x = - 20 - 203 i