SOLUTION: Hi, I am reviewing for my final and need help. Please show me what I did wrong on the following question. 8+7i ----- 3-4i That is a fraction and the question is asking to

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Question 1104943: Hi,
I am reviewing for my final and need help. Please show me what I did wrong on the following question.
8+7i
-----
3-4i
That is a fraction and the question is asking to put it into standard form.
I multiplied both top and bottom by (3+4i) and got -4+53i for top and 25 for bottom. I have redone this problem several times and keep coming up with the same answer. The answer choices are 4/25+53/25i (what I chose), 52/7-11/7i, 52/7+53/7i, and 4/25-11/25i
Thanks in advance!

Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
8+7i
-----
3-4i
That is a fraction and the question is asking to put it into standard form.
I multiplied both top and bottom by (3+4i) and got -4+53i for top and 25 for bottom. I have redone this problem several times and keep coming up with the same answer. The answer choices are 4/25+53/25i (what I chose), 52/7-11/7i, 52/7+53/7i, and 4/25-11/25i
------------
(8+7i)/(3-4i)
= (8+7i)*(3+4i)/25
= (24 + 53i - 28)/25
= (-4 + 53i)/25
Or -4/25 + (53/25)i
==========
It's -4

Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!