a^3=11

解

a^{3} = 11

a = 311, a = - 311 \frac{1}{2} + 311 \frac{3}{2} i, a = - 311 \frac{1}{2} - 311 \frac{3}{2} i

解答ステップ

a^{3} = 11

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}

a = 311, a = 311 \frac{- 1 + 3 i}{2}, a = 311 \frac{- 1 - 3 i}{2}

簡素化

311 \frac{- 1 + 3 i}{2} : - 311 \frac{1}{2} + 311 \frac{3}{2} i

簡素化

311 \frac{- 1 - 3 i}{2} : - 311 \frac{1}{2} - 311 \frac{3}{2} i

a = 311, a = - 311 \frac{1}{2} + 311 \frac{3}{2} i, a = - 311 \frac{1}{2} - 311 \frac{3}{2} i