Question

[linh nguyen ngoc]

Chứng minh rằng nếu : \(\dfrac{a+2002}{a-2002}=\dfrac{b+2001}{b-2001}\) và \(b\ne0;b\ne\pm2001\) thì \(\dfrac{a}{2002}=\dfrac{b}{2001}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

\(\Leftrightarrow\left(a+2002\right)\left(b-2001\right)=\left(b+2001\right)\left(a-2002\right)\)

\(\Leftrightarrow ab-2001a+2002b-2002\cdot2001=ab-2002b+2001a-2001\cdot2002\)

=>-4002a=-4004b

hay a/2002=b/2001