SOLUTION: Please help me solve. (2+6i)/(5+i)

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Question 870063: Please help me solve.
(2+6i)/(5+i)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve.
(2+6i)/(5+i)
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There's no variable, nothing to solve.
It can be simplified, or rationalized.
Rationalize means get the i out of the denominator.
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Multiply NUM and DEN by the conjugate of the DEN, 5-i
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= %282%2B6i%29%2A%285-i%29%2F%28%285%2Bi%29%2A%285-i%29%29
= 10+%2B+28i+-+6i%5E2%29%2F%2825+-+i%5E2%29
= %2816+%2B+28i%29%2F26
= %288+%2B+14i%29%2F13