tìm x
x/4042=1/2
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NT
1
25 tháng 12 2020
\(\Rightarrow2019\left|x-1\right|+2020\left|y-2\right|+2021\left|y-3\right|+2022\left|y-4\right|=2020+2022\)
\(\Rightarrow\hept{\begin{cases}\left|y-2\right|=1\\\left|x-1\right|=0\\\left|y-4\right|=1\end{cases}\Rightarrow\hept{\begin{cases}x=1\\y=3\end{cases}}}\)
BL
4
29 tháng 10 2023
\(\dfrac{2^{4042}\cdot3^{2020}}{6^{2019}\cdot4^{1011}}=\dfrac{2^{4042}\cdot3^{2020}}{3^{2019}\cdot2^{2019}\cdot2^{2022}}\)
\(=3\cdot\dfrac{2^{2042}}{2^{4041}}=3\cdot2=6\)
PC
1
8 tháng 4 2021
Ta có: \(\frac{A}{B}=\frac{1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{4042}}{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}}\)
\(=\frac{\left(1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{4042}\right)}{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}}\)
\(=1+\frac{\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{4042}}{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}}\)
Ta thấy \(1>\frac{1}{2}\) ; \(\frac{1}{3}>\frac{1}{4}\) ; ... ; \(\frac{1}{4041}>\frac{1}{4042}\)
\(\Rightarrow\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{4042}< 1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}\)
\(\Rightarrow\frac{\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{4042}}{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}}< 1\)
\(\Rightarrow1+\frac{\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{4042}}{1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{4041}}< 1+1< 1+\frac{2021}{2020}=1\frac{2021}{2020}\)
\(\Rightarrow\frac{A}{B}< 1\frac{2021}{2020}\)
QP
0
đề lag à
X = 2021