x * 2011 - x = 2011 * 2009 + 2011
x*(2011-1) = 2011*(2009 +1 )
x * 2010 = 2011 * 2010
x= 2011
\(x.2011-x=2011.2009+2011\)
\(\Leftrightarrow2010x=4042100\)
\(\Leftrightarrow x=4042100:2010\)
\(\Leftrightarrow x=\dfrac{4042100}{2010}\)
Vậy ...
x . 2011 - x = 2011 . 2009 + 2011
\(\Rightarrow\) x (2011 - 1) = 2011 (2009 + 1)
\(\Rightarrow\) x . 2010 = 2011 . 2010
\(\Rightarrow\) x = 2011
\(x\cdot2011-x=2011\cdot2009+2011\\ x\cdot\left(2011-1\right)=2011\cdot\left(2009+1\right)\\ x\cdot2010=2011\cdot2010\\ \Rightarrow x=2011\)
\(x^{2011}-x=2011^{2009}+2011\)
\(x^{\left(2011-1\right)}=2011^{\left(2009+1\right)}\)
\(x^{2011}=2011^{2010}\)
\(\Rightarrow x=2011\)
Vậy \(x=2011\)
