化简 (1+2i)/(5-3i)

解答

化简

\frac{1 + 2 i}{5 - 3 i}

- \frac{1}{34} + \frac{13}{34} i

求解步骤

\frac{1 + 2 i}{5 - 3 i}

乘以共轭根式

\frac{5 + 3 i}{5 + 3 i}

= \frac{( 1 + 2 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )}

化简

\frac{( 1 + 2 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{- 1 + 13 i}{34}

= \frac{- 1 + 13 i}{34}

Rewrite in standard complex form:

- \frac{1}{34} + \frac{13}{34} i

= - \frac{1}{34} + \frac{13}{34} i

4 x^{2} - 4 x = - 4 x + 1

\frac{35}{x + 5} \leq 7

s im pl i f y \frac{12 x ^{3}}{9 y ^{8}}

8 - ∣ 3 x + 9 ∣ = 2

60 (2 x - 1) = 15 (8 x + 5)