X x 2013 - X=2013x2012

=> X= 2013

Nha bạn       

Min D = 2 <=> x= 2014

a=22043

2014+2013+(x+1)+x+(x-1)=2014

x+x+x= 2014-2014-2013-1+1

3x=-2013

x= -2013:3= - 671

Phép tính <=> 2013+2012+2011+...+(x+1)+x+(x-1)=0 <=> x=-2012 
rồi nhóm đầu vs cuối ta có 
(2012+x)+...+(2012+x)=0 <=> x=-2012

2014+2013+(x+1) + x + (x-1) = 2014

= 4027 + ( x + 1 + x + x - 1)=  2014

 ( x + 1 + x + x - 1) = 2014 - 4027

 ( x + 1 + x + x - 1) = -2013

x+x+x = -2013 -1 +1 = -2013

x = -2013 : 3

x= - 671

uvtgtgyhyg7tgt

\(\frac{x+4}{2010}+\frac{x+3}{2011}=\frac{x+2}{2012}+\frac{x+1}{2013}\)

\(\Leftrightarrow\left(\frac{x+4}{2010}+1\right)+\left(\frac{x+3}{2011}+1\right)=\left(\frac{x+2}{2012}+1\right)+\left(\frac{x+1}{2013}+1\right)\)

\(\Leftrightarrow\frac{x+2014}{2010}+\frac{x+2014}{2011}=\frac{x+2014}{2012}+\frac{x+2014}{2013}\)

\(\Leftrightarrow\frac{x+2014}{2010}+\frac{x+2014}{2011}-\frac{x+2014}{2012}-\frac{x+2014}{2013}=0\)

\(\Leftrightarrow\left(x+2014\right)\left(\frac{1}{2010}+\frac{1}{2011}-\frac{1}{2012}-\frac{1}{2013}\right)=0\)

\(\Leftrightarrow x+2014=0\)

\(\Leftrightarrow x=-2014\)

V...

pt <=> \(\left(\sqrt{x^2+2013}+x\right)\)   .  \(\left(\sqrt{x^2+2013}-x\right)\).   \(\left(\sqrt{y^2+2013}+y\right)\)= 2013 . \(\left(\sqrt{x^2+2013}-x\right)\)

<=> 2013 . \(\left(\sqrt{y^2+2013}+y\right)\)= 2013 . \(\left(\sqrt{x^2+2013}-x\right)\)

<=> \(\sqrt{y^2+2013}+y\)=  \(\sqrt{x^2+2013}-x\)

Tương tự : \(\sqrt{x^2+2013}+x\)=  \(\sqrt{y^2+2013}-y\)

=> x=-y

=> x+y = 0

Tk mk nha