Problema 1-(Anass BenTaleb, Ali Ben Bari High School - Taza,Morocco)
Dati $ a,b,c $ reali positivi tali che $ ab+bc+ca=3 $ mostrare che:
$ \displaystyle a^2+b^2+c^2+3 \ge \frac{a(3+bc)^2}{(c+b)(b^2+3)} + \frac{b(3+ca)^2}{(a+c)(c^2+3)} + \frac{c(3+ab)^2}{(b+a)(a^2+3)} $
Oliforum contest- round3 - problema1
Oliforum contest- round3 - problema1
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