Cho các số dương $x,y,z$ sao cho $xy+yz+zx=1$. Chứng minh rằng:
$\frac{\sqrt{x}}{\sqrt{yz}+\sqrt{3}}+\frac{\sqrt{y}}{\sqrt{zx}+\sqrt{3}}+\frac{\sqrt{z}}{\sqrt{xy}+\sqrt{3}}\leq \frac{1}{4\sqrt{3}xyz}$
$\sum \frac{\sqrt{x}}{\sqrt{yz}+\sqrt{3}}\leq \frac{1}{4\sqrt{3}xyz}$
Started By Khoa Linh, 24-05-2018 - 20:12
#1
Posted 24-05-2018 - 20:12
Khoa Linh
-
- Thành viên
-
- 601 posts
Thiếu úy
- MoMo123, thien huu and thanhdatqv2003 like this
$\sqrt[LOVE]{MATH}$
"If I feel unhappy, I do mathematics to become happy. If I am happy, I
do mathematics to keep happy" - Alfréd Rényi
1 user(s) are reading this topic
0 members, 1 guests, 0 anonymous users
