Problem 17

Algebra Level 5

Given that a > b > c > 0 a> b> c> 0 .Find the minimum value of the expression below:

a + 108 ( a − b ) 3 × ( b − c ) 2 × c a+\frac{108}{(a-b)^3\times (b-c)^2\times c} .

This problem is in this Set .


The answer is 7.

Son Nguyen by Son Nguyen , 20, Vietnam

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1 solution

AM-GM is valid as x, y and z are positive according to the question.

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