x^3=3375

解

x^{3} = 3375

x = 15, x = - \frac{15}{2} + \frac{15 3}{2} i, x = - \frac{15}{2} - \frac{15 3}{2} i

解答ステップ

x^{3} = 3375

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 = 33375, x = 33375 \frac{- 1 + 3 i}{2}, x = 33375 \frac{- 1 - 3 i}{2}

33375 = 15

簡素化

33375 \frac{- 1 + 3 i}{2} : - \frac{15}{2} + \frac{15 3}{2} i

簡素化

33375 \frac{- 1 - 3 i}{2} : - \frac{15}{2} - \frac{15 3}{2} i

x = 15, x = - \frac{15}{2} + \frac{15 3}{2} i, x = - \frac{15}{2} - \frac{15 3}{2} i