SOLUTION: solve this complex equation: (x+3i)^2=2yi plz help solve this plz.....

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Question 914829: solve this complex equation:
(x+3i)^2=2yi
plz help solve this plz.....

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B9i%5E2%2B6xi=2yi
x%5E2%2B6xi-9=2yi
x%5E2-9%2B6xi=2yi
x%5E2-9%2B6xi=0%2B2yi

x%5E2-9=0 for the real parts.
x%5E2=9
highlight%28x=0%2B-+3%29

6x=2y for the imaginary parts.
3x=y
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choosing x=-3, y=-9;
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choosing x=3, y=9.
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Corresponding parts between two equal expressions