SOLUTION: Simplify in a + bi form. 5/2-i i is a imaginary number and i wasnt sure how to work with that

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Question 292138: Simplify in a + bi form. 5/2-i
i is a imaginary number and i wasnt sure how to work with that
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
5%2F%282-i%29 To simplify, you multiply top and bottom by the conjugate of 2-i which is 2%2Bi
5%282%2Bi%29%2F%282-i%29%282%2Bi%29 Simplify.
5%282%2B1%29%2F%284-i%5E2%29 Substitute i%5E2+=+-1
5%282%2Bi%29%2F%284-%28-1%29%29
5%282%2Bi%29%2F%284%2B1%29
cross%285%29%282%2Bi%29%2Fcross%285%29 Cancel the 5's as indicated to leave you with:
highlight%282%2Bi%29