化简 (1+2i)/(2-3i)

解答

化简

\frac{1 + 2 i}{2 - 3 i}

- \frac{4}{13} + \frac{7}{13} i

求解步骤

\frac{1 + 2 i}{2 - 3 i}

乘以共轭根式

\frac{2 + 3 i}{2 + 3 i}

= \frac{( 1 + 2 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

化简

\frac{( 1 + 2 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{- 4 + 7 i}{13}

= \frac{- 4 + 7 i}{13}

Rewrite in standard complex form:

- \frac{4}{13} + \frac{7}{13} i

= - \frac{4}{13} + \frac{7}{13} i

\frac{n}{8} = \frac{11}{5}

9 x^{2} - 18 = 7

s im pl i f y 3 e (3 + \frac{iπ}{6})

- \frac{7}{4} = \frac{2}{5} t

(8 + 2 x) (26 + 2 x) = 448