x^3=40

解

x^{3} = 40

x = 235, x = - 35 + 353 i, x = - 35 - 353 i

解答ステップ

x^{3} = 40

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 = 340, x = 340 \frac{- 1 + 3 i}{2}, x = 340 \frac{- 1 - 3 i}{2}

340 = 235

簡素化

340 \frac{- 1 + 3 i}{2} : - 35 + 353 i

簡素化

340 \frac{- 1 - 3 i}{2} : - 35 - 353 i

x = 235, x = - 35 + 353 i, x = - 35 - 353 i