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NP
0
NV
Nguyễn Việt Lâm
Giáo viên
14 tháng 4 2020
\(\Leftrightarrow\frac{2-x}{2012}+1=\frac{1-x}{2013}+1+1-\frac{x}{2014}\)
\(\Leftrightarrow\frac{2014-x}{2012}=\frac{2014-x}{2013}+\frac{2014-x}{2014}\)
\(\Leftrightarrow\left(2014-x\right)\left(\frac{1}{2013}+\frac{1}{2014}-\frac{1}{2012}\right)=0\)
\(\Leftrightarrow2014-x=0\Rightarrow x=2014\)
PN
0
LT
0
NC
1
5 tháng 9 2019
\(\frac{x+1}{2014}+\frac{x+2}{2013}+\frac{x+3}{2012}+\frac{x+4}{2011}=0\)
\(\Leftrightarrow\left(\frac{x+1}{2014}+1\right)+\left(\frac{x+2}{2013}+1\right)+\left(\frac{x+3}{2012}+1\right)+\left(\frac{x+4}{2011}+1\right)=0+1+1+1+1\)
\(\Leftrightarrow\frac{x+2015}{2014}+\frac{x+2015}{2013}+\frac{x+2015}{2012}+\frac{x+2015}{2011}=4\)
\(\Leftrightarrow\left(x+2015\right).\left(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}\right)=4\)
\(\Leftrightarrow x+2015=4:\left(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}\right)\)
\(\Leftrightarrow x+2015=2012,499379\)
\(\Leftrightarrow x=2012,499379-2015\)
\(\Leftrightarrow x=-2,5006118\)
P/s : Số xấu quá !
KE
2
8 tháng 3 2018
pt <=> (x/2012 - 1) + (x+1/2013 - 1) + (x+2/2014 - 1) + (x+3/2015 - 1) + (x+4/2016 - 1) = 0
<=> x-2012/2012 + x-2012/2013 + x-2012/2014 + x-2012/2015 + x-2012/2016 = 0
<=> (x-2012).(1/2012+1/2013+1/2014+1/2015+1/2016) = 0
<=> x-2012 = 0 ( vì 1/2012+1/2013+1/2014+1/2015+1/2016 > 0 )
<=> x=2012
Vậy x=2012
Tk mk nha
8 tháng 3 2018
Ta có :
\(\frac{x}{2012}+\frac{x+1}{2013}+\frac{x+2}{2014}+\frac{x+3}{2015}+\frac{x+4}{2016}=5\)
\(\Leftrightarrow\)\(\left(\frac{x}{2012}-1\right)+\left(\frac{x+1}{2013}-1\right)+\left(\frac{x+2}{2014}-1\right)+\left(\frac{x+3}{2015}-1\right)+\left(\frac{x+4}{2016}-1\right)=5-5\)
\(\Leftrightarrow\)\(\frac{x-2012}{2012}+\frac{x-2012}{2013}+\frac{x-2012}{2014}+\frac{x-2012}{2015}+\frac{x-2012}{2016}=0\)
\(\Leftrightarrow\)\(\left(x-2012\right)\left(\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}\right)=0\)
Vì \(\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}\ne0\)
\(\Rightarrow\)\(x-2012=0\)
\(\Rightarrow\)\(x=2012\)
Vậy \(x=2012\)
Chúc bạn học tốt ~
M
2
\(\frac{1-x}{2013}=1+\frac{2-x}{2012}-\frac{x}{2014}\)
\(\Leftrightarrow\)\(\frac{1-x}{2013}+1=\frac{2-x}{2012}+1-\left(\frac{x}{2014}-1\right)\)
\(\Leftrightarrow\)\(\frac{2014-x}{2013}=\frac{2014-x}{2012}-\frac{x-2014}{2014}\)
\(\Leftrightarrow\)\(\frac{2014-x}{2013}-\frac{2014-x}{2012}+\frac{2014-x}{2014}\)=0
\(\Leftrightarrow\)(2014-x)(\(\frac{1}{2013}-\frac{1}{2012}+\frac{1}{2014}\))=0
\(\Leftrightarrow\)2014-x=0(do 1/2013 -1/2012 -1/2014)
\(\Leftrightarrow\)x=2014