SOLUTION: [ Simplify: (6+i)/(1+4i) ]

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Question 820018: [ Simplify: (6+i)/(1+4i) ]
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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(6 + i)/(1 + 4i)
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quotient of two complex numbers:
(6 + i)/(1 + 4i)
(6 + i)(1 - 4i)/(1 + 4i)(1 - 4i)
(6 - 24i + i - 4ii)/(1 - 4i + 4i - 16ii)
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recall: ii = -1
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(10 - 23i)/(17)
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answer:
(10/17) - (23/17)i
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