SOLUTION: Simplify the following quotient of complex numbers into the form a+bi. -9+2i ------ -8-9i This problem confused me. Please explain the steps. Maybe it might straight me o

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Question 625332: Simplify the following quotient of complex numbers into the form a+bi.
-9+2i
------
-8-9i

This problem confused me. Please explain the steps. Maybe it might straight me out.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the following quotient of complex numbers into the form a+bi.
-9+2i
------
-8-9i
==============
Multiply NUM and DEN by the conjugate of the DEN, -8+9i
= %28-9+%2B+2i%29%2A%28-8%2B9i%29%2F%28%28-8-9i%29%2A%28-8%2B9i%29%29
= %2872+-+97i+-+18%29%2F%2864+%2B+81%29
= 90/145 - i*(97/145)
= 18/29 - i(97/145)