|x − 2019| + |x − 2021| + |x − 2023| = 4.
K
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TT
2019 . x + 1/2021 . x + 1/2023 . x - 1/2023 = 2019 + 1/2021
mọi người ơi trả lời nhanh giùm mình nhé
0
5 tháng 3 2023
2021 x 2021 - 2019 x 2023
= (2019 +2) x ( 2023 -2) - 2019 x 2023
= 2019 x 2023 - 2 x 2019 + 2 x 2023 - 4 - 2019 x 2023
= ( 2019 x 2023 - 2019 x 2023) + 2 x ( 2023 - 2019) - 4
= 0 + 2 x 4 - 4
= 8 - 4
= 4
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
5 tháng 3 2023
2021 x 2021 - 2019 x 2023
= (2019 +2) x ( 2023 -2) - 2019 x 2023
= 2019 x 2023 - 2 x 2019 + 2 x 2023 - 4 - 2019 x 2023
= ( 2019 x 2023 - 2019 x 2023) + 2 x ( 2023 - 2019) - 4
= 0 + 2 x 4 - 4
= 8 - 4
= 4
NN
3
17 tháng 9 2020
\(\frac{x+1}{2019}+\frac{x+2}{2018}+\frac{x+3}{2017}=\frac{x-1}{2021}+\frac{x-2}{2022}+\frac{x-3}{2023}\)
\(\Leftrightarrow\left(\frac{x+1}{2019}+1\right)+\left(\frac{x+2}{2018}+1\right)+\left(\frac{x+3}{2017}+1\right)=\left(\frac{x-1}{2021}+1\right)+\left(\frac{x-2}{2022}+1\right)+\left(\frac{x-3}{2023}+1\right)\)
\(\Leftrightarrow\left(\frac{x+1+2019}{2019}\right)+\left(\frac{x+2+2018}{2018}\right)+\left(\frac{x+3+2017}{2017}\right)=\left(\frac{x-1+2021}{2021}\right)+\left(\frac{x-2+2022}{2022}\right)+\left(\frac{x-3+2023}{2023}\right)\)
\(\Leftrightarrow\frac{x+2020}{2019}+\frac{x+2020}{2018}+\frac{x+2020}{2017}=\frac{x+2020}{2021}+\frac{x+2020}{2022}+\frac{x+2020}{2023}\)
\(\Leftrightarrow\frac{x+2020}{2019}+\frac{x+2020}{2018}+\frac{x+2020}{2017}-\frac{x+2020}{2021}-\frac{x+2020}{2022}-\frac{x+2020}{2023}=0\)
\(\Leftrightarrow\left(x+2020\right)\left(\frac{1}{2019}+\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2021}-\frac{1}{2022}-\frac{1}{2023}\right)=0\)
Vì \(\frac{1}{2019}+\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2021}-\frac{1}{2022}-\frac{1}{2023}\ne0\)
=> x + 2020 = 0
=> x = -2020
B
17 tháng 9 2020
Bài làm :
Ta có :
\(\frac{x+1}{2019}+\frac{x+2}{2018}+\frac{x+3}{2017}=\frac{x-1}{2021}+\frac{x-2}{2022}+\frac{x-3}{2023}\)
\(\Leftrightarrow\left(\frac{x+1}{2019}+1\right)+\left(\frac{x+2}{2018}+1\right)+\left(\frac{x+3}{2017}+1\right)=\left(\frac{x-1}{2021}+1\right)+\left(\frac{x-2}{2022}+1\right)+\left(\frac{x-3}{2023}+1\right)\)
\(\Leftrightarrow\left(\frac{x+1+2019}{2019}\right)+\left(\frac{x+2+2018}{2018}\right)+\left(\frac{x+3+2017}{2017}\right)=\left(\frac{x-1+2021}{2021}\right)+\left(\frac{x-2+2022}{2022}\right)+\left(\frac{x-3+2023}{2023}\right)\)
\(\Leftrightarrow\frac{x+2020}{2019}+\frac{x+2020}{2018}+\frac{x+2020}{2017}=\frac{x+2020}{2021}+\frac{x+2020}{2022}+\frac{x+2020}{2023}\)
\(\Leftrightarrow\frac{x+2020}{2019}+\frac{x+2020}{2018}+\frac{x+2020}{2017}-\frac{x+2020}{2021}-\frac{x+2020}{2022}-\frac{x+2020}{2023}=0\)
\(\Leftrightarrow\left(x+2020\right)\left(\frac{1}{2019}+\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2021}-\frac{1}{2022}-\frac{1}{2023}\right)=0\)
\(\text{Vì : }\frac{1}{2019}+\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2021}-\frac{1}{2022}-\frac{1}{2023}\ne0\)
\(\Rightarrow x+2020=0\Leftrightarrow x=-2020\)
Vậy x=-2020
27 tháng 5 2022
\(\dfrac{x-1}{2019-2}+\dfrac{x-3}{2019}=\dfrac{x-5}{2021}+\dfrac{x-7}{2023}\)
\(\Leftrightarrow\dfrac{x-1}{2017}+\dfrac{x-3}{2019}=\dfrac{x-5}{2021}+\dfrac{x-7}{2023}\)
\(\Leftrightarrow\left(\dfrac{x-1}{2017}+1\right)+\left(\dfrac{x-3}{2019}+1\right)=\left(\dfrac{x-5}{2021}+1\right)+\left(\dfrac{x-7}{2023}+1\right)\)
=>x+2016=0
hay x=-2016
