SOLUTION: Evaluate the expression and write the result in the form of a+bi. 25/4-3i

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Question 140381: Evaluate the expression and write the result in the form of a+bi.

25/4-3i
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
25%2F%284-3i%29 Rationalise the denominator by multiplying the top and bottom by the conjugate of (4-3i) which is (4+3i)
%2825%2F%284-3i%29%29%28%284%2B3i%29%2F%284%2B3i%29%29 Simplify.
25%284%2B3i%29%2F%2816-9i%5E2%29 Substitute i%5E2+=+-1
25%284%2B3i%29%2F%2816-9%28-1%29%29
25%284%2B3i%29%2F16-%28-9%29
25%284%2B3i%29%2F25 Cancel the 25's leaving you with:
4%2B3i