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Calculus Level 3

For 2<x<52<x<5, the greatest value of (5x)2(x2)5(5-x)^{2}(x-2)^{5} is at x=abx=\dfrac{a}{b}, where a,ba,b are coprime integers.

Enter value of abab as your answer.


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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