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

Answer:

  4

Step-by-step explanation:

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

  $\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{a+b}{ab}=\dfrac{4ab}{ab}=\boxed{4}$

The sum of their reciprocals is 4.