If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=打错了If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=

If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=打错了If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
打错了
If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=

If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=打错了If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
m^(x-1)-n^(x-2)=0
→
① if m=n=0,
m（的2005次方）+n（的2005次方）=0;
② if m=n=1,
m（的2005次方）+n（的2005次方）=2;
③ others:
m^(x-1)-n^(x-2)=0 →m-(n/m)^(x-2)=0 →(n/m)^(x-2)=m;
in the case of n>m>0,
→{
lim(x→-∞) (n/m)^(x-2)=0=m, error;
lim(x→+∞) (n/m)^(x-2)=+∞=m, error;
in the case of m>n>0,
lim(x→-∞) (n/m)^(x-2)=+∞=m, error;
lim(x→+∞) (n/m)^(x-2)=0=m, error;
so
m（的2005次方）+n（的2005次方）=0 or 2.