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11-01-2022
Mathematics

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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

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sqdancefan sqdancefan

13-01-2022

Answer:

4

Step-by-step explanation:

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

[tex]\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{a+b}{ab}=\dfrac{4ab}{ab}=\boxed{4}[/tex]

The sum of their reciprocals is 4.

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