CMR $(x^2+y^2+z^2)^2>=3(x^{3}y+y^{3}z+z^{3}x)$ với $x,y,z \in R$
$(x^2+y^2+z^2)^2>=3(x^{3}y+y^{3}z+z^{3}x)$
Started By melodias2002, 11-02-2018 - 23:20
#2
Posted 12-02-2018 - 08:21
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- ĐHV Toán Cao cấp
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Đại úy
\[\left ( \sum x^{2} \right )^{2}\geq 3\left ( \sum x^{3}y \right )\]
\[\Leftrightarrow \sum \left ( 2x^{2}- y^{2}- z^{2}- xy+ yz \right )^{2}\geq 0\]
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