SOLUTION: Compute the following and simplify in the form a+bi 3-2i/1+4i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Compute the following and simplify in the form a+bi 3-2i/1+4i      Log On


   

Question 820466: Compute the following and simplify in the form a+bi
3-2i/1+4i
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[3-2i] / [1+4i]
------
Multiply numerator and denominator by 1-4i to get::
-----
[(3-2i)(1-4i)]/[1+16]
-----
(3-8 - 14i)/17
-----
= (-5/17) - (14/17)i
-------------------------
Cheers,
Stan H.
-----------------