Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
S = 3/10 + 3/11 + 3/12 + 3/13 + 3/14 > 3/15 + 3/15 + 3/15 + 3/15 + 3/15 = 15/15 = 1
=> 1 < S = 3/10 + 3/11 + 3/12 + 3/13 + 3/14 < 3/10 + 3/10 + 3/10 + 3/10 + 3/10 = 20/10 = 2
=> 1 < S < 2 (điều cần chứng minh)
Mọi người tk mình đi!
Cảm ơn nhiều nha!!!!!!!!!!!!!!!!!!!!!!!!
đề rối
\(x+\frac{3}{10}+x+\frac{3}{11}+x+\frac{3}{12}=x+\frac{3}{13}+x+\frac{3}{14}\)
\(\Leftrightarrow3x+\left(\frac{3}{10}+\frac{3}{11}+\frac{3}{12}\right)=2x+\left(\frac{3}{13}+\frac{3}{14}\right)\)
\(\Leftrightarrow3x+\frac{181}{220}=2x+\frac{81}{182}\)
\(\Leftrightarrow3x-2x=-\frac{181}{220}+\frac{81}{182}\)
\(\Leftrightarrow x=-\frac{181}{220}+\frac{81}{182}=\frac{-7561}{20020}\)
hay là
\(\frac{x+3}{10}+\frac{x+3}{11}+\frac{x+3}{12}=\frac{x+3}{13}+\frac{x+3}{14}\)
\(\Leftrightarrow\frac{x+3}{10}+\frac{x+3}{11}+\frac{x+3}{12}-\frac{x+3}{13}+\frac{x+3}{14}=0\)
\(\Leftrightarrow\left(x+3\right)\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}+\frac{1}{14}\right)=0\)
\(\Leftrightarrow x+3=0\)( vì \(\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}+\frac{1}{14}\right)\ne0\))
\(\Rightarrow x=-3\)
\(\frac{3}{10}+\frac{3}{11}+\frac{3}{12}+\frac{3}{13}+\frac{3}{14}>\frac{3}{15}+\frac{3}{15}+\frac{3}{15}+\frac{3}{15}+\frac{3}{15}=\frac{15}{15}=1\)
\(\frac{3}{10}+\frac{3}{11}+\frac{3}{12}+\frac{3}{13}+\frac{3}{14}< \frac{3}{9}+\frac{3}{9}+\frac{3}{9}+\frac{3}{9}+\frac{3}{9}=\frac{15}{9}< \frac{18}{9}=2\)
Suy ra đpcm.
- 3/10 +3/11 +3/12 +3/13 +3/14 > 3/15 + 3/15 +3/15 +3/15 +3/15 = 15/15 =1
S < 3/10 +3/10 +3/10 + 3/10 + 3/10 = 15/ 10 < 20/10 =2