KöMaL 2011 B4343

Let $a$ and $b$ denote positive numbers such that $a^3$ + $b^3$ =1. Show that $a^2$ + $ab$ + $b^2$ - $a$ - $b$ >0. (Suggested by J. Pataki, Budapest)

Official text KöMaL. Quoted with source.

Solutions

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