Inegalitate conditionata cu a+b+c=abc

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Claudiu Mindrila
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Inegalitate conditionata cu a+b+c=abc

Post by Claudiu Mindrila »

Fie numerele reale \( a,b,c \) astfel incat \( a+b+c=abc \).
a) Daca \( a,b,c\in\mathbb{R}_{+}^{*} \), detemrinati valoarea minima a sumei \( a+b+c \),
b) Care sunt tripletele de numere intregi \( (a,b,c) \) cu \( a,b,c \) nenule care verifica egalitatea data?

Adrian Ghioca, lista scurta, 2005
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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Marius Mainea
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Post by Marius Mainea »

a) \( 3\sqrt{3} \)
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