Ecuatie

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Claudiu Mindrila
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Ecuatie

Post by Claudiu Mindrila »

Determinati 3 numere reale strict pozitive \( x,\ y,\ z \) stiind ca \( \frac{1}{x^{2}+1}+\frac{1}{y^{2}+4}+\frac{1}{z^{2}+9}=\frac{7}{12}\sqrt{\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}}} \).

Ovidiu Pop
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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Marius Mainea
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Joined: Mon May 26, 2008 2:12 pm
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Post by Marius Mainea »

Aplicand AM-GM si CBS obtinem egalitate si x=1, y=2, z=3.
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