SOLUTION: (-5+9i)/(3+7i) using a+bi form

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: (-5+9i)/(3+7i) using a+bi form      Log On


   



Question 811720: (-5+9i)/(3+7i) using a+bi form
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(-5+9i)/(3+7i) using a+bi form
:
multiply by the conjugate of the denominator, FOIL and Simplify
%28-5%2B9i%29%2F%283%2B7i%29 * %283-7i%29%2F%283-7i%29 = %28-15%2B62i-63i%5E2%29%2F%289-49i%5E2%29 = %28-15%2B62i-63%28-1%29%29%2F%289-49%28i%5E2%29%29 = %28-15%2B62i%2B63%29%2F%289%2B49%29%29 = %2848-62i%29%2F58