SOLUTION: What is the answer to 6 over 9+i?

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Question 508737: What is the answer to 6 over 9+i?
Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
6%2F%289%2Bi%29 Rationalize the denominator by multiplying top and bottom by %289-i%29, called the complex conjugate of %289%2Bi%29
6%289-i%29%2F%28%289%2Bi%29%289-i%29%29+=+%2854-6i%29%2F%2881-i%5E2%29 Replace i%5E2+=+-1
%2854-6i%29%2F%2881-%28-1%29%29+=+%2854-6i%29%2F%2882%29=2%2827-3i%29%2F%282%2841%29%29 Cancel the 2's
highlight%28%2827-3i%29%2F41%29