SOLUTION: simplify 5 - 6i / i - 3

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Question 65800This question is from textbook An Incremental Development
: simplify
5 - 6i / i - 3This question is from textbook An Incremental Development

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
5 - 6i / i - 3
%285-6i%29%2F%28i-3%29 Multiply the top and bottom by the conjugate of the bottom, i+3.
%285-6i%29%28i%2B3%29%2F%28%28i-3%29%28i%2B3%29%29
%285%28i%2B3%29-6i%28i%2B3%29%29%2F%28i%28i%2B3%29-3%28i%2B3%29%29
%285i%2B15-6i%5E2-18i%29%2F%28i%5E2%2B3i-3i-9%29 remember i^2=-1
%285i%2B15-6%28-1%29-18i%29%2F%28-1%2B3i-3i-9%29 combine like terms
%2815%2B6%2B5i-18i%29%2F%28-1-9%2B3i-3i%29
%2821-13i%29%2F-10 put into a+bi form
highlight%28-21%2F10%2B%2813%2F10%29i%29
Happy Calculating!!!