SOLUTION: Divide 6+2i/1+7i What does the real number a equal? What does the real number b equal? Please write the result in the form a+bi

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Question 1001235: Divide 6+2i/1+7i
What does the real number a equal?
What does the real number b equal?
Please write the result in the form a+bi
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%286%2B2i%29%2F%281%2B7i%29

=%28%286%2B2i%29%281-7i%29%29%2F%28%281%2B7i%29%281-7i%29%29

=%286-42i%2B2i-14i%5E2%29%2F%28%281%5E2-%287i%29%5E2%29%29

=%286-40i-14%28-1%29%29%2F%281-49%28-1%29%29

=%286-40i%2B14%29%2F%281%2B49%29

=%282cross%280%29-4cross%280%29i%29%2F5cross%280%29

=%282-4i%29%2F5

=2%2F5-4i%2F5=>the result in the form a%2Bbi

the real number a a=2%2F5
the real number b+=-4%2F5