化简 (4i)/(-8-7i)

解答

化简

\frac{4 i}{- 8 - 7 i}

- \frac{28}{113} - \frac{32}{113} i

求解步骤

\frac{4 i}{- 8 - 7 i}

乘以共轭根式

\frac{- 8 + 7 i}{- 8 + 7 i}

= \frac{4 i ( - 8 + 7 i )}{( - 8 - 7 i ) ( - 8 + 7 i )}

化简

\frac{4 i ( - 8 + 7 i )}{( - 8 - 7 i ) ( - 8 + 7 i )} : \frac{- 32 i - 28}{113}

= \frac{- 32 i - 28}{113}

Rewrite in standard complex form:

- \frac{28}{113} - \frac{32}{113} i

= - \frac{28}{113} - \frac{32}{113} i

∣ x + 4 ∣ = ∣ x - 7 ∣

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s im pl i f y \frac{a ^{2} + ab + a}{b ^{2} + ab + b}