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• 15:17, 20 August 2025 Andrei.Horvat talk contribs created page E:16902 (Created page with "'''E:16902 (Melania-Iulia Dobrican)''' ''Fie numerele reale pozitive <math>x</math>, <math>y</math>, cu <math>xy=4</math>. Arătaţi că <math>\frac{1}{x+4} + \frac{1}{y+4} \le \frac{1}{3}.</math> '' '''Soluție''' Avem echivalenţele <math>\frac{1}{x+4} + \frac{1}{y+4} \le \frac{1}{3} \Leftrightarrow 3y+12+3x+12 \le xy+4x+4y+16 \Leftrightarrow x+y\ge 8-xy./<math> Cum <math>xy=4</math>, rezultă <math>x+y \ge 4</math>. Au loc echivalenţele <math>x+y \ge 4 \Leftri...")