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$$\sum\it{(}\,\,\it{2}- \it{ab}\,\,\it{)}\leqq \it{14}$$

b*w !

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DOTOANNANG

DOTOANNANG

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  • ĐHV Toán Cao cấp
  • 1610 posts

Cho $\it{3}$ số thực $\it{a},\,\it{b},\,\it{c}$ thỏa mãn $\it{a}^{\,\it{2}}+ \it{b}^{\,\it{2}}+ \it{c}^{\,\it{2}}= \it{3}$ $\it{.}$ Chứng minh $\it{:}$

$$\it{(}\,\,\it{2}- \it{ab}\,\,\it{)}\it{(}\,\,\it{2}- \it{bc}\,\,\it{)}\it{(}\,\,\it{2}- \it{ca}\,\,\it{)}\leqq \it{14}$$

 

$\lceil$ Đã có một cách chứng minh theo Buffalo*Way $\it{!}$   ;) $\rfloor$

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