化简 (4-i)/(4+i)

解答

化简

\frac{4 - i}{4 + i}

\frac{15}{17} - \frac{8}{17} i

求解步骤

\frac{4 - i}{4 + i}

乘以共轭根式

\frac{4 - i}{4 - i}

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

化简

\frac{( 4 - i ) ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{- 8 i + 15}{17}

= \frac{- 8 i + 15}{17}

Rewrite in standard complex form:

\frac{15}{17} - \frac{8}{17} i

= \frac{15}{17} - \frac{8}{17} i

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