Concursul Matefbc editia a 2-a problema 1

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Andi Brojbeanu
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Concursul Matefbc editia a 2-a problema 1

Post by Andi Brojbeanu »

Fie \( a,b \) doua numere intregi pozitive distincte astfel incat \( ab(a+b) \) este divizibil cu \( a^2+ab+b^2 \). Demonstrati ca \( |a-b|>\sqrt[3]{ab}. \)
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