Daca \( a,\ b,\ c \) sunt numere reale pozitive astfel incat \( a+b+c=3 \), atunci \( \frac{1}{a^{2}+b^{2}+2}+\frac{1}{b^{2}+c^{2}+2}+\frac{1}{c^{2}+a^{2}+2}\le\frac{3}{4} \).
Primul Test de Selectie pentru O.I.M., Iran, Ziua 1, 2009
Inegalitate conditionata cu a+b+c=3 (TST Iran, 2009, Ziua 1)
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Inegalitate conditionata cu a+b+c=3 (TST Iran, 2009, Ziua 1)
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