2 years ago

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

Mathematics

1 answer:

zlopas [31]2 years ago

7 0

Answer:

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.

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