化简 (5+6i)/(-1+8i)

解答

化简

\frac{5 + 6 i}{- 1 + 8 i}

\frac{43}{65} - \frac{46}{65} i

求解步骤

\frac{5 + 6 i}{- 1 + 8 i}

乘以共轭根式

\frac{- 1 - 8 i}{- 1 - 8 i}

= \frac{( 5 + 6 i ) ( - 1 - 8 i )}{( - 1 + 8 i ) ( - 1 - 8 i )}

化简

\frac{( 5 + 6 i ) ( - 1 - 8 i )}{( - 1 + 8 i ) ( - 1 - 8 i )} : \frac{43 - 46 i}{65}

= \frac{43 - 46 i}{65}

Rewrite in standard complex form:

\frac{43}{65} - \frac{46}{65} i

= \frac{43}{65} - \frac{46}{65} i

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