Difference between revisions of "Mock AIME 1 2013 Problems/Problem 6"
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Latest revision as of 16:33, 15 April 2015
Problem
Find the number of integer values can have such that the equation has a solution.
Solution
must be in the domain of , so it suffices to find the maximum of this (the minimum is just times the maximum). Taking the derivative and setting it to , Let . . Therefore . Since , there are k's that work ()