m^3=27

解

m^{3} = 27

m = 3, m = - \frac{3}{2} + \frac{3 3}{2} i, m = - \frac{3}{2} - \frac{3 3}{2} i

解答ステップ

m^{3} = 27

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}

m = 327, m = 327 \frac{- 1 + 3 i}{2}, m = 327 \frac{- 1 - 3 i}{2}

327 = 3

簡素化

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

簡素化

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

m = 3, m = - \frac{3}{2} + \frac{3 3}{2} i, m = - \frac{3}{2} - \frac{3 3}{2} i