# 1957 AHSME Problems/Problem 36

Revision as of 20:31, 13 February 2021 by Justinlee2017 (talk | contribs) (Created page with "By AM-GM, we have <cmath>\frac{x+y}{2} \geq \sqrt{xy}</cmath> Substituting, we have <cmath>\frac{1}{2} \geq \sqrt {xy}</cmath> <cmath>\frac{1}{4} \geq xy</cmath> Equality occu...")

By AM-GM, we have Substituting, we have Equality occurs when

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