f^3=-216

解

f^{3} = - 216

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

解答ステップ

f^{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}

f = 3 - 216, f = 3 - 216 \frac{- 1 + 3 i}{2}, f = 3 - 216 \frac{- 1 - 3 i}{2}

3 - 216 = - 6

簡素化

3 - 216 \frac{- 1 + 3 i}{2} : 3 - 33 i

簡素化

3 - 216 \frac{- 1 - 3 i}{2} : 3 + 33 i

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