SOLUTION: Simplify: 3-i _____ 7+i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify: 3-i _____ 7+i      Log On


   



Question 220733: Simplify:
3-i
_____
7+i

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
%283-i%29%2F%287%2Bi%29
Multiply numerator and denominator by complex conjugate of denominator:
%28%283-i%29%287-i%29%29%2F%28%287%2Bi%29%287-i%29%29
Simplify:
%2821-10i%2B1%29%2F%2849-1%29
%2822-10i%29%2F48
Reduce:
highlight%28%2811-5i%29%2F24%29
================
Good Luck,
tutor_paul@yahoo.com