Difference between revisions of "Northeastern WOOTers Mock AIME I Problems/Problem 5"
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Latest revision as of 21:45, 7 August 2021
Problem 5
Let , , and be real numbers. Given that , the maximum value of can be represented , where and are positive integers, where and are relatively prime. Find .
Solution
By the Cauchy-Schwarz Inequality, It follows that . Since this is attainable when , the answer is .