Max-min value

[QAZ] Let $ a, b, c $ be three positive numbers such that $ abc = 1 $. Find the minimum value of the expression: $ Q = \frac {bc} {a ^ 2 (b + c)} + \frac {ca} {b ^ 2 (c + a)} + \frac { ab} {c ^ 2 (a + b)} $

06/05/2020 // by admin

Question: Let $ a, b, c $ be three positive numbers such that $ abc = 1 $. Find the minimum value of the expression: $ Q = \frac {bc} {a ^ 2 (b + c)} + \frac {ca} {b ^ 2 (c + a)} + \frac { ab} {c ^ 2 (a + b)} …

[QAZ] Let $ a, b, c $ be three positive numbers such that $ abc = 1 $. Find the minimum value of the expression: $ Q = \frac {bc} {a ^ 2 (b + c)} + \frac {ca} {b ^ 2 (c + a)} + \frac { ab} {c ^ 2 (a + b)} $Read More