SOLUTION: dividethe complex numbers. make sure you express solution in the form of a+bi. show work {{{(7+3i)/(4-2i)}}}

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Question 329903: dividethe complex numbers. make sure you express solution in the form of a+bi. show work
%287%2B3i%29%2F%284-2i%29
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2B3i%29%2F%284-2i%29
Multiply NUM and DEN by the conjugate of the DEN 4+2i
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%287%2B3i%29%2F%284-2i%29
= (7+3i)*(4+2i)/(4-2i)*(4+2i)
= (28 - 6 + 26i)/(16+4)
= (22 + 26i)/20
= (11 + 13i)/10
= 1.1 + 1.3i

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2B3i%29%2F%284-2i%29
Multiply the equation by the conjugate of the denominator over itself
%287%2B3i%29%2F%284-2i%29 * %284%2B2i%29%2F%284%2B2i%29 = %2828%2B+14i%2B12i%2B+6i%5E2%29%2F%2816+-+4i%5E2%29 = %2828+%2B+26i+%2B+6%28-1%29%29%2F%2816+-+4%28-1%29%29 = %2828+%2B+26i+-+6%29%2F%2816+%2B+4%29 = %2822+%2B+26i%29%2F20
22%2F20 + %2826i%29%2F20 = 11%2F10 + %2813i%29%2F10 = 1.1 + 1.3i