sai đề phải k bn?
phải là \(\dfrac{x+1}{101}+\dfrac{x+2}{100}=\dfrac{x+10}{92}+\dfrac{x+11}{91}\) chứ!!!
\(\Leftrightarrow\left(\dfrac{x+1}{101}+1\right)+\left(\dfrac{x+2}{100}+1\right)=\left(\dfrac{x+10}{92}+1\right)\)
\(+\left(\dfrac{x+11}{91}+1\right)\)
\(\Leftrightarrow\dfrac{x+102}{101}+\dfrac{x+102}{100}-\dfrac{x+102}{91}-\dfrac{x+102}{92}=0\)
\(\Leftrightarrow\left(x+102\right)\left(\dfrac{1}{101}+\dfrac{1}{100}-\dfrac{1}{91}-\dfrac{1}{92}\right)=0\)
\(\Leftrightarrow x+102=0\)
\(\left(do\dfrac{1}{101}+\dfrac{1}{100}-\dfrac{1}{91}-\dfrac{1}{92}\ne0\right)\)
\(\Leftrightarrow x=-102\)