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A = 2019 x 2021
A = 2019 x (2020 + 1)
A = 2019 x 2020 + 2019
B = 2020 x (2019 + 1)
B = 2020 x 2019 + 2020
=> B > A
A= 2019 X ( 2020+ 1)
A= 2019x 2020+ 2019
B= 2020 X ( 2019+1)
B= 2020x 2019+ 2020
2019x 2020= 2020x 2019
mà 2019< 2020
nên A< B
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\(\left|x-3y\right|^{2019}+\left|y+\text{4}\right|^{2020}=0\\ \)
mà \(\left|x-3y\right|\ge0\Rightarrow\left|x-3y\right|^{2019}\ge0\)
\(\left|y+4\right|\ge0\Rightarrow\left|y+4\right|^{2020}\ge0\)
=> phương trình xảy ra <=> \(\left|x-3y\right|=\left|y+4\right|=0\Rightarrow\hept{\begin{cases}y=-4\\x=-12\end{cases}}\)
\(\left|x-3y\right|^{2019}+\left|y+4\right|^{2020}=0\)
\(\text{Ta có : }\left|x-3y\right|^{2019}\ge0;\left|y+4\right|^{2019}\ge0\)
\(\Rightarrow\orbr{\begin{cases}\left|x-3y\right|^{2019}=0\\\left|y+4\right|^{2020}=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\left|x-3y\right|=0\\\left|y+4\right|=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-3y=0\\y+4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3y\left(1\right)\\y=-4\left(2\right)\end{cases}}\)
\(\text{Thay (2) vào (1) }\Rightarrow x=-12\)
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a. Vì \(\left|x-y-5\right|\ge0\forall x;y;2019\left|y-3\right|^{2020}\ge0\forall y\)
\(\Rightarrow\left|x-y-5\right|+2019\left|y-3\right|^{2020}\ge0\)
Dấu "=" xảy ra \(\Leftrightarrow\orbr{\begin{cases}\left|x-y-5\right|=0\\2019\left|y-3\right|^{2020}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x-y-5=0\\y-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x-y=5\\y=3\end{cases}}\)
b. \(2\left(x-5\right)^4\ge0\forall x;5\left|2y-7\right|^5\ge0\forall y\)
\(\Rightarrow2\left(x-5\right)^4+5\left|2y-7\right|^5\ge0\)
Dấu "=" xảy ra \(\Leftrightarrow\orbr{\begin{cases}2\left(x-5\right)^4=0\\5\left|2y-7\right|^5=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x-5=0\\2y-7=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5\\y=\frac{7}{2}\end{cases}}\)
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Ta có :
\(N=\frac{2018+2019+2020}{2019+2020+2021}\)
\(=\frac{2018}{2019+2020+2021}+\frac{2019}{2019+2020+2021}+\frac{2020}{2019+2020+2021}\)
Mà \(\frac{2018}{2019}>\frac{2018}{2019+2020+2021}\)
\(\frac{2019}{2020}>\frac{2019}{2019+2020+2021}\)
\(\frac{2020}{2021}>\frac{2020}{2019+2020+2021}\)
\(\Leftrightarrow M>N\)
Trả lời:
Ta có:
\(\frac{2018}{2019}>\frac{2018}{2019+2020+2021}\)
\(\frac{2019}{2020}>\frac{2019}{2019+2020+2021}\)
\(\frac{2020}{2021}>\frac{2020}{2019+2020+2021}\)
\(\Rightarrow\frac{2018}{2019}+\frac{2019}{2020}+\frac{2020}{2021}>\frac{2018+2019+2020}{2019+2020+2021}\)
hay \(M>N\)
Vậy \(M>N\)
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x+2y/x+y = 2020/2019
=> (x + 2y)2019 = 2020(x + y)
=> 2019x + 4038y = 2020x + 2020y
=> 4038y - 2020y = 2020x - 2019x
=> 2018y = x vì x;y nhỏ nhất và x;y là stn khác 0
=> y = 1 => x = 2018.1 = 2018
vậy x = 2018; y = 1
\(\frac{x+2y}{x+y}=\frac{2020}{2019}\)
\(\Rightarrow2019\left(x+2y\right)=2020\left(x+y\right)\)
\(\Rightarrow2019x+4038y=2020x+2020y\)
\(\Rightarrow2019x-2020x=2020y-4038y\)
\(\Rightarrow-1=-2018y\)
\(\Rightarrow y=\frac{1}{2018}\)
Vậy ko có STN thỏa mãn
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1/2.x-3/5=-4/5
1/2.x=-4/5+3/5
1/2.x=-1/5
x=-1/5:1/2
x=-2/5
kl:.....
câu đầu mik tính ra sốn to lắm
câu cuối mik tính ko chia hết nên chỉ làm đc câu giữa
Mk sửa đề nha :
20202020 x ( 710 : 78 - 3 x 24 - 22020 : 22020 )
= 20202020 x ( 72 - 48 - 20 )
= 20202020 x ( 49 - 48 - 1 )
= 20202020 x 0
= 0
Study well ! >_<
Bài làm:
Ta có: \(\left(x+2020\right)\times\left(x-2019\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+2020=0\\x-2019=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2020\\x=2019\end{cases}}\)
( x + 2020 )( x - 2019 ) = 0
<=> x + 2020 = 0 hoặc x - 2019 = 0
<=> x = -2020 hoặc x = 2019