SOLUTION: Divide: (5+3i)/(6-2i) here are the multiple choice answer I have to pick from 3/5+7/10 i 3/2+7/2 i 2+7/10 i 3/11+8/11 i thanks s

Algebra ->  Radicals -> SOLUTION: Divide: (5+3i)/(6-2i) here are the multiple choice answer I have to pick from 3/5+7/10 i 3/2+7/2 i 2+7/10 i 3/11+8/11 i thanks s       Log On


   

Question 549789: Divide: (5+3i)/(6-2i)
here are the multiple choice answer I have to pick from
3/5+7/10 i
3/2+7/2 i
2+7/10 i
3/11+8/11 i
thanks
s
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2B3i%29%2F%286-2i%29 Start with the given expression.


%28%285%2B3i%29%2F%286-2i%29%29%28%286%2B2i%29%2F%286%2B2i%29%29 Multiply the fraction by %286%2B2i%29%2F%286%2B2i%29.


%28%285%2B3i%29%286%2B2i%29%29%2F%28%286-2i%29%286%2B2i%29%29 Combine the fractions.


FOIL the numerator.


FOIL the denominator.


%2830%2B10i%2B18i%2B6i%5E2%29%2F%2836%2B12i-12i-4i%5E2%29 Multiply.


%2830%2B10i%2B18i%2B6%28-1%29%29%2F%2836%2B12i-12i-4%28-1%29%29 Replace i%5E2 with -1.


%2830%2B10i%2B18i-6%29%2F%2836%2B12i-12i%2B4%29 Multiply


%2824%2B28i%29%2F%2840%29 Combine like terms.


%2824%29%2F%2840%29%2B%28%2828%29%2F%2840%29%29i Break up the fraction.


3%2F5%2B%287%2F10%29i Reduce.


So %285%2B3i%29%2F%286-2i%29=3%2F5%2B%287%2F10%29i.


So the expression is now in standard form a%2Bbi where a=3%2F5 and b=7%2F10

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Divide: (5+3i)/(6-2i)
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Multiply the NUM and DEN by the conjugate of the DEN