化简 5/(9-i)

解答

化简

\frac{5}{9 - i}

\frac{45}{82} + \frac{5}{82} i

求解步骤

\frac{5}{9 - i}

乘以共轭根式

\frac{9 + i}{9 + i}

= \frac{5 ( 9 + i )}{( 9 - i ) ( 9 + i )}

化简

\frac{5 ( 9 + i )}{( 9 - i ) ( 9 + i )} : \frac{45 + 5 i}{82}

= \frac{45 + 5 i}{82}

Rewrite in standard complex form:

\frac{45}{82} + \frac{5}{82} i

= \frac{45}{82} + \frac{5}{82} i

s im pl i f y \frac{- 4}{- 7}

s im pl i f y 8.25

\frac{5}{8} \div \frac{11}{20}

s im pl i f y 39000

s im pl i f y 5 i (3 + 2 i) (8 + 3 i)