olymmath

VMO 1991 Problem 6

    Show that x2x^2y/z + y2y^2z/x + z2z^2x/y ≥ x2x^2 + y2y^2 + z2z^2 for any non-negative reals x, y, z. [This is false, (1,2,3), (1,1,1), (1,2,8) give >, =, < . Does anyone know the correct question?]

    Community text Kalva (prase.cz mirror). Quoted with source.

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