x^3=e^6

解

x^{3} = e^{6}

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

解答ステップ

x^{3} = e^{6}

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 = 3 e^{6}, x = 3 e^{6} \frac{- 1 + 3 i}{2}, x = 3 e^{6} \frac{- 1 - 3 i}{2}

3 e^{6} = e^{2}

簡素化

3 e^{6} \frac{- 1 + 3 i}{2} : - \frac{e ^{2}}{2} + i \frac{3 e ^{2}}{2}

簡素化

3 e^{6} \frac{- 1 - 3 i}{2} : - \frac{e ^{2}}{2} - i \frac{3 e ^{2}}{2}

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