Fie \( a,b,c \) numere reale strict pozitive cu suma \( 1 \). Sa se arate ca \( \frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}\geq 3(a^2+b^2+c^2). \)
Mircea Lascu, TST OBMJ, 2006
TST ineq
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Claudiu Mindrila
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TST ineq
Last edited by Claudiu Mindrila on Thu Oct 16, 2008 9:05 pm, edited 1 time in total.
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Re: TST ineq
Vezi aiciClaudiu Mindrila wrote:Fie \( a,b,c \) numere reale strict pozitive cu suma \( 1 \). Sa se arate ca \( \frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}\geq 3(a^2+b^2+c^2). \)
Mircea Lascu, TST OBMJ, 2006