Ta có AD BĐT $\sqrt{ab}\leq \frac{a^{2}+b^{2}}{2}+ \sqrt{x-17}\leq \frac{1+x-17}{2}+\sqrt{y-12} \leq \frac{1+y-12}{2}+ \sqrt{z-2014} \leq \frac{1+z-2014}{2}Cộngtừngvế:\Rightarrow \sqrt{x-17}+\sqrt{y-12}+\sqrt{z-2014}\leq \frac{x-16+y-11+z-2013}{2}$$\Rightarrow VP \leq \frac{x-16+y-11+z-2013+2040}{2}=\frac{x+y+z}{2}$ (đpcm)Đúng thì tích cho cái nhé :))
Ta có AD BĐT √ab≤a+b2+ √x−17≤1+x−172+ √y−12≤1+y−122+√z−2014≤1+z−20142Cộng từng vế:⇒√x−17+√y−12+√z−2014≤x−16+y−11+z−20132⇒VP≤x−16+y−11+z−2013+20402=x+y+z2 (đpcm)Đúng thì tích cho cái nhé :))