x^3=15

解

x^{3} = 15

x = 315, x = - 315 \frac{1}{2} + 315 \frac{3}{2} i, x = - 315 \frac{1}{2} - 315 \frac{3}{2} i

解答ステップ

x^{3} = 15

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 = 315, x = 315 \frac{- 1 + 3 i}{2}, x = 315 \frac{- 1 - 3 i}{2}

簡素化

315 \frac{- 1 + 3 i}{2} : - 315 \frac{1}{2} + 315 \frac{3}{2} i

簡素化

315 \frac{- 1 - 3 i}{2} : - 315 \frac{1}{2} - 315 \frac{3}{2} i

x = 315, x = - 315 \frac{1}{2} + 315 \frac{3}{2} i, x = - 315 \frac{1}{2} - 315 \frac{3}{2} i