SOLUTION: My question is to solve the equation ------5 over 2 plus i

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Question 71510: My question is to solve the equation ------5 over 2 plus i
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, you don't really have an equation to solve here. What you probably mean is..."Please help me simplify this expression"
5%2F%282%2Bi%29 Multiply this by %282-i%29%2F%282-i%29. The %282-i%29 is the "complex conjugate" of the denominator %282%2Bi%29.
5%282-i%29%2F%282%2Bi%29%282-i%29 Simplify the denominator.
5%282-i%29%2F%282%5E2-i%5E2%29+=+5%282-i%29%2F%284-i%5E2%29 But i%5E2+=+-1 so substitute in the denominator.
5%282-i%29%2F%284-%28-1%29%29+=+5%282-i%29%2F5 Cancel the 5's to get:
5%2F%282%2Bi%29+=+2-i