SOLUTION: {{{(5+3i)/(5-3i)}}}

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Question 1025230: %285%2B3i%29%2F%285-3i%29

Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20849) About Me  (Show Source):
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2B3i%29%2F%285-3i%29%22%22%2A%22%22red%28%285%2B3i%29%2F%285%2B3i%29%29

%28%285%2B3i%29%285%2B3i%29%29%2F%28%285-3i%29%285%2B3i%29%29

%2825%2B15i%2B15i%2B9i%5E2%29%2F%2825%2B15i-15i-9i%5E2%29

%2825%2B30i%2B9i%5E2%29%2F%2825%2Bcross%2815i%29-cross%2815i%29-9i%5E2%29

%2825%2B30i%2B9i%5E2%29%2F%2825-9i%5E2%29

Now realize that i%5E2=-1 and substitute

%2825%2B30i%2B9%28-1%29%29%2F%2825-9%28-1%29%29

%2825%2B30i-9%29%2F%2825%2B9%29

%2816%2B30i%29%2F34

Make two fractions

16%2F34%2B30i%2F34

Reduce the fractions

8%2F17%2B15i%2F17

Write the i to the right of the fraction

8%2F17%2Bexpr%2815%2F17%29i

Edwin