Question

tìm x: x-17/1997 + x-21/1993+ x+2/1008=4

giúp vs ạ

Answer 1

\(\dfrac{x-17}{1997}+\dfrac{x-21}{1993}+\dfrac{x+2}{1008}=4\)

\(\Leftrightarrow\dfrac{x-17}{1997}-1+\dfrac{x-21}{1993}-1+\dfrac{x+2}{1008}-2=0\)\(\Leftrightarrow\dfrac{x-2014}{1997}+\dfrac{x-2014}{1993}+\dfrac{x-2014}{1008}=0\) \(\Leftrightarrow\left(x-2014\right)\left(\dfrac{1}{1993}+\dfrac{1}{1997}+\dfrac{1}{1008}\right)=0\)vì \(\dfrac{1}{1993}+\dfrac{1}{1997}+\dfrac{1}{1008}\ne0\Rightarrow x-2014=0\Rightarrow x=2014\)