sistem de ecuatii

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BogdanCNFB
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Joined: Wed May 07, 2008 4:29 pm
Location: Craiova

sistem de ecuatii

Post by BogdanCNFB »

Numerele reale pozitive x,y,z satisfac relatiile
\( x^2+xy+\frac{y^2}{3}=25 \), \( \frac{y^2}{3}+z^2=9 \), \( z^2+zx+x^2=16. \)
Gasiti \( xy+2yz+3zx \).

ETAPA LOCALA 2008, DOLJ
As dori o solutie algebrica pt ca cea geometrica se poate observa cu usurinta din Teorema Cosinusului.
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