k^3=729

解

k^{3} = 729

k = 9, k = - \frac{9}{2} + \frac{9 3}{2} i, k = - \frac{9}{2} - \frac{9 3}{2} i

解答ステップ

k^{3} = 729

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}

k = 3729, k = 3729 \frac{- 1 + 3 i}{2}, k = 3729 \frac{- 1 - 3 i}{2}

3729 = 9

簡素化

3729 \frac{- 1 + 3 i}{2} : - \frac{9}{2} + \frac{9 3}{2} i

簡素化

3729 \frac{- 1 - 3 i}{2} : - \frac{9}{2} - \frac{9 3}{2} i

k = 9, k = - \frac{9}{2} + \frac{9 3}{2} i, k = - \frac{9}{2} - \frac{9 3}{2} i