User contributions for Ionut

A user with 29 edits. Account created on 6 January 2023.
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16 January 2025

  • 12:3912:39, 16 January 2025 diff hist +785 N E:26460Created page with "'''Problema 26460 (Nicolae Mușuroia, Baia Mare)''' ''Să se arate că dacă a, b, c sunt numere reale strict pozitive cu <math>a + b + c = abc</math>, atunci <math>(1 + a^2)(1 + b^2)(1 + c^2) \geq 64</math>.'' '''Soluție.''' Relația <math>a + b + c = abc</math> se scrie <math>\frac{1}{bc} + \frac{1}{ca} + \frac{1}{ab} = 1</math>. Avem: <math> 1 + a^2 = a^2 \left( 1 + \frac{1}{a^2} \right) = a^2 \left( \frac{1}{bc} + \frac{1}{ca} + \frac{1}{ab} + \frac{1}{a^2} \righ..." current Tag: Visual edit: Switched

6 January 2023