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1: so sánh 2016/2017+2017/2018
vì 2016/2017 > 1/2017 >1/2018 =
> 2016/2017+2017/2018 >1/2018+2017/2018=1
vậy .....
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(a+2017)^2018+/b-2018/=0
vì ( a + 2017 )2018 \(\ge\)0 ; | b - 2018 | \(\ge\)0
\(\Rightarrow\)( a + 2017 )2018 + | b - 2018 | \(\ge\)0
Mà ( a + 2017 )2018 + | b - 2018 | = 0
\(\Rightarrow\hept{\begin{cases}\left(a+2017\right)^{2018}=0\\\left|b-2018\right|=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}a+2017=0\\b-2018=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}a=-2017\\b=2018\end{cases}}\)
Vì (a+2017)^2018 >= 0 và |b-2018| >= 0 nên VT >= 0
=> Để VT = 0 thì : a+2017=0 và b-2018=0 <=> a=-2017 và b=2018
Vậy a=-2017 và b=2018
Tk mk nha
![](https://rs.olm.vn/images/avt/0.png?1311)
Xét: \(\frac{\left(17^{2017}+16^{2017}\right)^{2018}}{17^{2017.2018}}=\left(\frac{17^{2017}+16^{2017}}{17^{2017}}\right)^{2018}=\left(1+\left(\frac{16}{17}\right)^{2017}\right)^{2018}\)
\(\frac{\left(17^{2018}+16^{2018}\right)^{2017}}{17^{2017.2018}}=\left(\frac{17^{2018}+16^{2018}}{17^{2018}}\right)^{2017}=\left(1+\left(\frac{16}{17}\right)^{2018}\right)^{2017}\)
Ta có: \(0< \frac{16}{17}< 1\)
=> \(\left(\frac{16}{17}\right)^{2017}>\left(\frac{16}{17}\right)^{2018}\)
=> \(1+\left(\frac{16}{17}\right)^{2017}>1+\left(\frac{16}{17}\right)^{2018}>1\)
=> \(\left(1+\left(\frac{16}{17}\right)^{2017}\right)^{2018}>\left(1+\left(\frac{16}{17}\right)^{2018}\right)^{2017}\)
=> \(\left(17^{2017}+16^{2017}\right)^{2018}>\left(17^{2018}+16^{2018}\right)^{2017}\)
![](https://rs.olm.vn/images/avt/0.png?1311)