Bài toán :
Cho các số thực không âm $a$,$b$,$c$. Chứng minh rằng :
$\frac{a}{\sqrt{2a+b+3c}}+\frac{b}{\sqrt{2b+c+3a}}+\frac{c}{\sqrt{2c+a+3b}}<\sqrt{\frac{8}{15}(a+b+c)}$
Spoiler
$\sum\frac{a}{\sqrt{2a+b+3c}}<\sqrt{\frac{8}{15}(a+b+c)}$
Started By Strygwyr, 23-07-2013 - 07:52
#1
Posted 23-07-2013 - 07:52
Strygwyr
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Sk8er-boi
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