Question

Giải phương trình : ( x - 17 )/1997 + ( x - 21 )/1993 + ( x + 2 )/1008 = 4

Giải hộ

Answer 1

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

\(\Leftrightarrow\frac{x-17}{1997}+\frac{x-21}{1993}+\frac{x+2}{1008}-4=0\)

\(\Leftrightarrow\left(\frac{x-17}{1997}-1\right)+\left(\frac{x-21}{1993}-1\right)+\left(\frac{x+2}{1008}-2\right)=0\)

\(\Leftrightarrow\left(\frac{x-17}{1997}-\frac{1997}{1997}\right)+\left(\frac{x-21}{1993}-\frac{1993}{1993}\right)+\left(\frac{x+2}{1008}-\frac{2016}{1008}\right)=0\)

\(\Leftrightarrow\frac{x-2014}{1997}+\frac{x-2014}{1993}+\frac{x-2014}{1008}=0\)

\(\Leftrightarrow\left(x-2014\right)\left(\frac{1}{1997}+\frac{1}{1993}+\frac{1}{1008}\right)=0\)

\(\Leftrightarrow x-2014=0\)

\(\Leftrightarrow x=2014\)

=.= hok tốt!!