-4=r^{-4}

解

- 4 = r^{- 4}

r = \frac{1}{2} + \frac{1}{2} i, r = - \frac{1}{2} - \frac{1}{2} i, r = \frac{1}{2} - \frac{1}{2} i, r = - \frac{1}{2} + \frac{1}{2} i

解答ステップ

- 4 = r^{- 4}

改良

- 4 = \frac{1}{r ^{4}}

以下で両辺を乗じる:

r^{4}

- 4 r^{4} = 1

解く

- 4 r^{4} = 1 : r = \frac{1}{2} + \frac{1}{2} i, r = - \frac{1}{2} - \frac{1}{2} i, r = \frac{1}{2} - \frac{1}{2} i, r = - \frac{1}{2} + \frac{1}{2} i

r = \frac{1}{2} + \frac{1}{2} i, r = - \frac{1}{2} - \frac{1}{2} i, r = \frac{1}{2} - \frac{1}{2} i, r = - \frac{1}{2} + \frac{1}{2} i