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Printjmc
algebra senior
Problem
Let and be positive real numbers such that Find the maximum value of
Solution
We can consider as the product of and Unfortunately, their sum is not constant.
In order to obtain a constant sum, we consider By AM-GM, so Then Equality occurs when We can solve to get and so the maximum value is
In order to obtain a constant sum, we consider By AM-GM, so Then Equality occurs when We can solve to get and so the maximum value is
Final answer
1152