IMAC 2010 Problema 5

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Andi Brojbeanu
Bernoulli
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Joined: Sun Mar 22, 2009 6:31 pm
Location: Targoviste (Dambovita)

IMAC 2010 Problema 5

Post by Andi Brojbeanu »

Sa se demonstreze ca:
\( (x^2+y^2)^3(y^2+z^2)^3(x^2+z^2)^3\ge 8x^4y^4z^4(x^2+xz+2y^2)(y^2+xy+2z^2)(z^2+yz+2x^2) \), \( (\forall) x, y, z\in \mathb{R} \).
Marius Dragan
Brojbeanu Andi Gabriel, clasa IX-a
Colegiul National "Constantin Carabella" Targoviste
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