Question

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

Answer 1

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.