SOLUTION: I'm working on some of my homework here is the question.. 3-i/4+2i= here are my choices..7+i/10 1+i/2 -1-i/2 1-i/2 any help would be appreciated, thanks!

Algebra ->  Equations -> SOLUTION: I'm working on some of my homework here is the question.. 3-i/4+2i= here are my choices..7+i/10 1+i/2 -1-i/2 1-i/2 any help would be appreciated, thanks!       Log On


   

Question 181241: I'm working on some of my homework here is the question.. 3-i/4+2i= here are my choices..7+i/10 1+i/2 -1-i/2 1-i/2
any help would be appreciated, thanks!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
%283-i%29%2F%284%2B2i%29muliply numerator and denominator by 4-2i
:
%283-i%29%284-2i%29%2F%2816%2B4%29......... (4+2i)(4-2i)=16-4i^2=16+4=20
:
%2812-6i-4i%2B2i%5E2%29%2F20
:
%2810-10i%29%2F20
:
%281-i%29%2F2
:
the answer is the last one