SOLUTION: I hope you can help me with this question: 4+3i divided by 5+3i expressed in the form a+bi. Thanks

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Question 80264: I hope you can help me with this question: 4+3i divided by 5+3i expressed in the form a+bi.
Thanks
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: ARITHMETIC on Complex Numbers

Solution:Division of two complex numbers a + bi
and c+di is done according to formula:


%28a+%2B+bi%29+%2F+%28c%2Bdi%29+=+%28db%2Bca%29%2F%28c%5E2%2Bd%5E2%29+%2B+i%2A%28%28cb-da%29%2F%28c%5E2%2Bd%5E2%29%29


In our case, %284+%2B+3%2Ai%29+%2F+%285+%2B+3%2Ai%29++=+0.852941176470588+%2B+0.0882352941176471%2Ai