化简+(8-6i)/(5+3i)

解答

化简

+ \frac{8 - 6 i}{5 + 3 i}

\frac{11}{17} - \frac{27}{17} i

求解步骤

\frac{8 - 6 i}{5 + 3 i}

乘以共轭根式

\frac{5 - 3 i}{5 - 3 i}

= \frac{( 8 - 6 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

化简

\frac{( 8 - 6 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{22 - 54 i}{34}

= \frac{22 - 54 i}{34}

使用分式法则:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{22}{34} + \frac{- 54}{34} i

化简

\frac{22}{34} + \frac{- 54}{34} i : \frac{11}{17} - \frac{27}{17} i

= \frac{11}{17} - \frac{27}{17} i

\frac{225}{64}

s im pl i f y 3 \times \frac{5}{3}

s im pl i f y \frac{7}{8} + \frac{\frac{1}{4}}{\frac{6}{7}}

s im pl i f y \frac{1}{3 x} + \frac{2}{x ^{2}}

s im pl i f y \frac{6 x ^{4} y ^{0}}{5 x ^{6}}