SOLUTION: 9-6i _____ 7+8i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 9-6i _____ 7+8i      Log On


   



Question 300127: 9-6i
_____
7+8i

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%289-6i%29%29%2F%28%287%2B8i%29%29
:
Multiply by the conjugate of the denominator over itself (same as mult by 1)
%28%289-6i%29%29%2F%28%287%2B8i%29%29 * %28%287-8i%29%29%2F%28%287-8i%29%29 = %2863+-+72i+-+42i+%2B+48i%5E2%29%2F%2849+-+56i+%2B+56i+-+64i%5E2%29 = %2863+-114i+%2B+48%28-1%29%29%2F%2849+-+64%28-1%29%29 = %2863+-+114i+-+48%29%2F%2849+%2B+64%29 = %2815+-+114i%29%2F113