Question

tìm x:

x+3/2007-x+3/2008=x+3/2010-x+3/2009

giải giúp mình nha

Answer 1

\(\frac{x+3}{2007}-\frac{x+3}{2008}=\frac{x+3}{2010}-\frac{x+3}{2009}\)

\(\Rightarrow\frac{x+3}{2007}-\frac{x+3}{2008}-\frac{x+3}{2010}+\frac{x+3}{2009}=0\) ( trừ 2 số bằng nhau)

\(\Rightarrow\left(x+3\right)\left(\frac{1}{2007}-\frac{1}{2008}-\frac{1}{2010}+\frac{1}{2009}\right)=0\)

Mà \(\frac{1}{2007}-\frac{1}{2008}-\frac{1}{2010}+\frac{1}{2009}\ne0\)

\(\Rightarrow x+3=0\)

\(\Rightarrow x=0-3=-3\)