v^3=343

解

v^{3} = 343

v = 7, v = - \frac{7}{2} + \frac{7 3}{2} i, v = - \frac{7}{2} - \frac{7 3}{2} i

解答ステップ

v^{3} = 343

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}

v = 3343, v = 3343 \frac{- 1 + 3 i}{2}, v = 3343 \frac{- 1 - 3 i}{2}

3343 = 7

簡素化

3343 \frac{- 1 + 3 i}{2} : - \frac{7}{2} + \frac{7 3}{2} i

簡素化

3343 \frac{- 1 - 3 i}{2} : - \frac{7}{2} - \frac{7 3}{2} i

v = 7, v = - \frac{7}{2} + \frac{7 3}{2} i, v = - \frac{7}{2} - \frac{7 3}{2} i