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Adri

Akar-akaran Tajam [Ketaksamaan]

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Untuk bilangan real tak-negatif $x,y,z$, buktikan bahwa


 


\[\sqrt{x^2+yz+\frac{2}{3(x+y+z)}xyz}+\sqrt{y^2+xz+\frac{2}{3(x+y+z)}xyz}+\sqrt{z^2+xy+\frac{2}{3(x+y+z)}xyz}\leq \frac{3}{2}(x+y+z)\]


Edited by Adri

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