if-x-y-z-gt-0-and-xyz-27-prove-that-1-x-2-27-1-y-2-27-1-z-2-27-1-12-

Tinku Tara June 4, 2023 Algebra 0 Comments

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Question Number 158508 by HongKing last updated on 05/Nov/21

if x;y;z>0 and xyz=27 prove that: (1/(x^2 +27)) + (1/(y^2 +27)) + (1/(z^2 +27)) ≤ (1/(12))

if x; y; z > 0 and xyz = 27 prove that :

\frac{1}{x^{2} + 27} + \frac{1}{y^{2} + 27} + \frac{1}{z^{2} + 27} ⩽ \frac{1}{12}

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