SOLUTION: Express in a+bi form 3-6i/-4i

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Question 229103: Express in a+bi form
3-6i/-4i

Found 2 solutions by ankor@dixie-net.com, stanbon:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%283-6i%29%2F%28-4i%29
multiply
%283-6i%29%2F%28-4i%29 * %28-4i%29%2F%28-4i%29 = %28-12i%2B24i%5E2%29%2F%2816i%5E2%29 = %28-12i%2B24%28-1%29%29%2F%2816%28-1%29%29 = %28-12i-24%29%2F%28-16%29
We can write it like this and reduce the fraction
%28-12i%29%2F%28-16%29 + %28-24%29%2F%28-16%29 = %283i%29%2F4 + 3%2F2
Write it:
1.5 + .75i

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express in a+bi form
3-6i/-4i
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Multiply numerator and denominator by 4i to get:
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(12i-24i^2)/(-16i^2)
(24+12i)/16
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= (3/2)+(3/4)i
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Cheers,
Stan H.