If a,b,c are sides of triangle and x,y,z are positive real number, is possible to prove inequality below?
$$2a^2x+2b^2y+2c^2z\geq (b^2+c^2)x+(a^2+c^2)y+(a^2+b^2)z$$
2026-04-06 20:32:30.1775507550
Inequality of side of triangle
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This is not correct. For example, let a=1, b=c=2, X=1, y and z are very small. Then left hand side is close to 2, and right to 8