\(\frac{2-x}{2008}-1=\frac{1-x}{2009}-\frac{x}{2010}\)
\(\frac{2-x}{2008}-1+2=\frac{1-x}{2009}+1-\frac{x}{2010}+1\)
\(\frac{2-x}{2008}+1=\frac{1-x}{2009}+1+\frac{-x}{2010}+1\)
\(\frac{2-x}{2008}+\frac{2008}{2008}=\frac{1-x}{2009}+\frac{2009}{2009}+\frac{-x}{2010}+\frac{2010}{2010}\)
\(\frac{2010-x}{2008}=\frac{2010-x}{2009}+\frac{2010-x}{2010}\)
\(\frac{2010-x}{2008}-\frac{2010-x}{2009}-\frac{2010-x}{2010}=0\)
\(\left(2010-x\right).\left(\frac{1}{2008}-\frac{1}{2009}-\frac{1}{2010}\right)=0\)
\(\Rightarrow2010-x=0\text{ }\left(\text{vì }\frac{1}{2008}-\frac{1}{2009}-\frac{1}{2010}\ne0\right)\)
\(x=2010\)
Đúng 0
Bình luận (0)
