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)=
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![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)=](/uploads/image/z/12815849-65-9.jpg?t=If+the+equation+m%28x-1%29-n%28x-2%29for+x+has+infinite+roots%2Cthen+m%EF%BC%88%E7%9A%842005%E6%AC%A1%E6%96%B9%EF%BC%89%2Bn%EF%BC%88%E7%9A%842005%E6%AC%A1%E6%96%B9%EF%BC%89%3D%E6%89%93%E9%94%99%E4%BA%86If+the+equation+m%28x-1%29-2005-n%28x-2%29for+x+has+infinite+roots%2Cthen+m%EF%BC%88%E7%9A%842005%E6%AC%A1%E6%96%B9%EF%BC%89%2Bn%EF%BC%88%E7%9A%842005%E6%AC%A1%E6%96%B9%EF%BC%89%3D)
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.