+0  
 
0
83
1
avatar

Simplify $\displaystyle\frac{1-i}{2+3i}$, where $i=\sqrt{-1}$ is the imaginary unit.

Guest Jan 15, 2018
Sort: 

1+0 Answers

 #1
avatar+85958 
+2

\(\frac{1-i}{2+3i}\)     Multiply  top/bottom by   2 - 3i

 

[ 1  - i  ] [ 2 - 3i ]  /  [ ( 2 + 3i) ( 2 - 3i)  ]  

 

[ 2 - 2i - 3i + 3i^2  ] /  [ 4  - 9i^2 ]

 

[ 2  -  3  - 2i -  3i  ]  / [  4 + 9 ]

 

[ -1  - 5i  ] / [ 13 ] 

 

 

cool cool cool

CPhill  Jan 15, 2018

22 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details