z^3=4-4sqrt(3)+0i

解

z^{3} = 4 - 43 + 0 i

z = 3 4 - 43, z = - 3 4 - 43 \frac{1}{2} + 3 4 - 43 \frac{3}{2} i, z = - 3 4 - 43 \frac{1}{2} - 3 4 - 43 \frac{3}{2} i

解答ステップ

z^{3} = 4 - 43 + 0 i

簡素化

4 - 43 + 0 i : 4 - 43

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}

z = 3 4 - 43, z = 3 4 - 43 \frac{- 1 + 3 i}{2}, z = 3 4 - 43 \frac{- 1 - 3 i}{2}

簡素化

3 4 - 43 \frac{- 1 + 3 i}{2} : - 3 4 - 43 \frac{1}{2} + 3 4 - 43 \frac{3}{2} i

簡素化

3 4 - 43 \frac{- 1 - 3 i}{2} : - 3 4 - 43 \frac{1}{2} - 3 4 - 43 \frac{3}{2} i

z = 3 4 - 43, z = - 3 4 - 43 \frac{1}{2} + 3 4 - 43 \frac{3}{2} i, z = - 3 4 - 43 \frac{1}{2} - 3 4 - 43 \frac{3}{2} i