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\(\frac{1}{2}.x+150\%x=2014\)
\(0,5.x+1,5.x=2014\)
\(x.\left(0,5+1,5\right)=2014\)
\(x.2=2014\)
\(x=2014:2\)
\(x=1007\)
~Hok tốt~
1/2 . x + 150 % . x =2014
50 % . x + 150 % . x =2014
( 50 % + 150 % ) . x =2014
200 % . x =2014
x= 2014 / 200 %
x= 1007

= x . 1/2 + 3/2 = 2014
= x . 1/2 = 2014 - 3/2
= x . 1/2 = 4025/2
x . = 4025/2: 2
x = 4025/4

\(\frac{1}{2}x+150\%x=2014\)
\(\frac{1}{2}x+\frac{3}{2}x=2014\)
\(2x=2014\)
\(x=2014:2\)
\(x=1007\)

có 2014/1+2013/2+2012/3+...+2/2013+1/2014=[1+(2013/2)]+[1+(2012/3)]+...+[1+(2/2013)]+[1+(1/2014)]+1
=2015/2+2015/3+...+2015/2014+2015/2015=2015.[1/2+1/3+..+1/2015)
vậy (1/2+1/3+...+1/2015).x=(1/2+1/3+...+1/2015).2015
x=2015


a = \(\frac{2013}{2014}+\frac{2014}{2015}=\frac{2014-1}{2014}+\frac{2015-1}{2015}\)
\(=1-\frac{1}{2014}+1-\frac{1}{2015}\)
\(=2-\left(\frac{1}{2014}+\frac{1}{2015}\right)>1\) (1)
b = \(\frac{2013+2014}{2014+2015}<1\) (2)
Từ (1) và (2) => a > b
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h

\(\frac{1}{2}x+150\%x=2014\)
\(\frac{1}{2}x+\frac{3}{2}x=2014\)
\(\left(\frac{1}{2}+\frac{3}{2}\right)x=2014\)
\(2x=2014\)
\(x=2014:2\)
\(x=1007\)

\(\frac{x+4}{2011}+\frac{x+3}{2012}=\frac{x+2}{2013}+\frac{x+1}{2014}\)
\(\frac{x+4}{2011}+1+\frac{x+3}{2012}+1=\frac{x+2}{2013}+1+\frac{x+1}{2014}+1\)
\(\frac{x+4}{2011}+\frac{2011}{2011}+\frac{x+3}{2012}+\frac{2012}{2012}=\frac{x+2}{2013}+\frac{2013}{2013}+\frac{x+1}{2014}+\frac{2014}{2014}\)
\(\frac{x+2015}{2011}+\frac{x+2015}{2012}=\frac{x+2015}{2013}+\frac{x+2015}{2014}\)
\(\frac{x+2015}{2011}+\frac{x+2015}{2012}-\frac{x+2015}{2013}-\frac{x+2015}{2014}=0\)
\(\left(x+2015\right)\left(\frac{1}{2011}+\frac{1}{2012}-\frac{1}{2013}-\frac{1}{2014}\right)=0\)
vì \(\frac{1}{2011}+\frac{1}{2012}-\frac{1}{2013}-\frac{1}{2014}\ne0\)nên:
x+2015=0
x=-2015
\(\frac{1}{2}x+150\%x=2014\)
\(< =>50\%a+150\%x=2014\)
\(< =>200\%x=2014\)
\(< =>x=\frac{2014}{2}=1007\)
\(\frac{1}{2}.x+150\%.x=2014\)
\(\frac{1}{2}.x+\frac{3}{2}.x=2014\)
\(\left(\frac{1}{2}+\frac{3}{2}\right).x=2014\)
\(2.x=2014\)
\(x=2014:2\)
\(x=1007\)
Học tốt