SOLUTION: I need to divide and express the result in standard form: 5+2i/2-5i I know the answer is i just not sure how to get there.

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Question 566671: I need to divide and express the result in standard form:
5+2i/2-5i I know the answer is i just not sure how to get there.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2B2i%29%2F%282-5i+%29

multiply and divide by (2+5i)


%28%285%2B2i%29%282%2B5i%29%29%2F%28%282-5i+%29%282%2B5i%29%29

%2810%2B25i%2B4i%2B10i%5E2%29%2F%284-25i%5E2%29 (i^2=-1)
%2810%2B29i-10%29%2F%2829%29
29i%2F29
=i