SOLUTION: could you tell me if I'm right on this problem? (3-i)/ (1+i) = 4+2i I wasn't sure how to solve it,because of the divide sign. Thank you for your help in advance,and have a great

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: could you tell me if I'm right on this problem? (3-i)/ (1+i) = 4+2i I wasn't sure how to solve it,because of the divide sign. Thank you for your help in advance,and have a great      Log On


   

Question 131877: could you tell me if I'm right on this problem?
(3-i)/ (1+i) = 4+2i I wasn't sure how to solve it,because of the divide sign.
Thank you for your help in advance,and have a great day! LH
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%283-i%29%2F%281%2Bi%29 First, rationalise the denominator by multiplying by its conjugate, %281-i%29
%283-i%29%281-i%29%2F%281%2Bi%29%281-i%29 Simplify.
%283-4i%2Bi%5E2%29%2F%281-i%5E2%29 Substitute:i%5E2+=+-1
%283-4i%2B%28-1%29%29%2F%281-%28-1%29%29 Simplify.
%282-4i%29%2F%282%29 Factor 2 from the numerator.
2%281-2i%29%2F2 Cancel the 2's to leave you with:
1-2i, so...
%283-i%29%2F%281%2Bi%29+=+1-2i