q^3= 1/343

解

q^{3} = \frac{1}{343}

q = \frac{1}{7}, q = - \frac{1}{14} + \frac{3}{14} i, q = - \frac{1}{14} - \frac{3}{14} i

解答ステップ

q^{3} = \frac{1}{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}

q = 3 \frac{1}{343}, q = 3 \frac{1}{343} \frac{- 1 + 3 i}{2}, q = 3 \frac{1}{343} \frac{- 1 - 3 i}{2}

3 \frac{1}{343} = \frac{1}{7}

簡素化

3 \frac{1}{343} \frac{- 1 + 3 i}{2} : - \frac{1}{14} + \frac{3}{14} i

簡素化

3 \frac{1}{343} \frac{- 1 - 3 i}{2} : - \frac{1}{14} - \frac{3}{14} i

q = \frac{1}{7}, q = - \frac{1}{14} + \frac{3}{14} i, q = - \frac{1}{14} - \frac{3}{14} i