Question

If the equation m(x-1)=2011-n(x-2) for x has infinite roots,

Answer 1

m(x-1)=2011-n(x-2)

mx-m=2011-nx+2n

(m+n)x=2011+2n+m

因为方程有无数解

所以m+n=0,所以n=-m

所以m^2011+n^2011=m^2011-m^2011=0