Nonsymmetric Inequality
Source: Tuymaada 2016, P7, Seniors
July 19, 2016
inequalitiesinequalities proposed
Problem Statement
For every , , prove the inequality
x^{24} + \root 5\of {y^{60}+z^{40}} \geq
\left(x^4 y^3 + {1\over 3} y^2 z^2 + {1\over 9} x^3 z^3 \right)^2.