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The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers

1 Answer

10 votes

Answer:

4

Explanation:

If the two numbers are 'a' and 'b', the sum of their reciprocals is ...


(1)/(a)+(1)/(b)=(a+b)/(ab)=(4ab)/(ab)=\boxed{4}

The sum of their reciprocals is 4.

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