化简 (3-5i)/(7+2i)

解答

化简

\frac{3 - 5 i}{7 + 2 i}

\frac{11}{53} - \frac{41}{53} i

求解步骤

\frac{3 - 5 i}{7 + 2 i}

乘以共轭根式

\frac{7 - 2 i}{7 - 2 i}

= \frac{( 3 - 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )}

化简

\frac{( 3 - 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )} : \frac{11 - 41 i}{53}

= \frac{11 - 41 i}{53}

Rewrite in standard complex form:

\frac{11}{53} - \frac{41}{53} i

= \frac{11}{53} - \frac{41}{53} i

s im pl i f y \frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

\frac{100}{1} = \frac{x}{\frac{3}{2}} \cdot 5466313

s im pl i f y \frac{14}{7 ^{\frac{2}{3}}}

7 x^{2} - 6 x + 2 = 0

s im pl i f y \frac{6 4 ^{\frac{5}{3}}}{6 4 ^{\frac{4}{3}}}