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University math problem?
The sum of two real numbers is A and the sum of their reciprocals is B, where A and B are nonzero. What is the value of the sum of the squares of these two real numbers? Could you also show your work so I can follow through with your logic, please? Thanks
1 Answer
- ted sLv 71 year agoFavorite Answer
x + y = a and 1 / x + 1 / y = b ≡ [ y + x ] / xy ≡ a / xy===> x y = a / b
(x + y)² = a² ≡ x² + 2 xy + b² ≡ x² + 2 a / b + y² ===> x² + y² = a² - 2 a / b ...
and a " university math " student should have found this to be trivial
