Question

奥数2006分之X-2加2007分之加2008分之X+2等于6

Answer 1

(X-2)/2006+X/2007+(X+2)/2008-6=0

(X-2-2*2006)/2006+(X-2007*2)/2007+(X+2-2008*2)/2008=0

(X-2*2007)/2006+(X-2007*2)/2007+(X-2*2007)/2008=0

(X-2*2007)/(1/2006+1/2007+1/2008)=0

(X-2*2007) =0

X=2*2007

X=4014