Inegalitate conditionata (2)

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Andi Brojbeanu
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Inegalitate conditionata (2)

Post by Andi Brojbeanu »

Daca \( a, b, c \in \math{R}_+^* \), \( \frac{1}{a}+ \frac{1}{b}+\frac{1}{c}\leq 3 \), demonstrati ca \( \frac{a^2+1}{\sqrt{a^2-a+1}}+ \frac{b^2+1}{\sqrt{b^2-b+1}}+ \frac{c^2+1}{\sqrt{c^2-c+1}}\geq 6 \).
I. V. Maftei si Mihai Haivas, Recreatii Matematice 1/2009
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Claudiu Mindrila
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Vezi aici
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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