Y=(2x^2-2x+1)/(x-1)
=(2x(x-1)+1)/(x-1)
=2x+1/(x-1)
=2(x-1)+1/(x-1)+2

因为x>1因此x-1和1/(x-1)为正数

所以最小值为2根号(2(x-1)*1/(x-1))+2

=2根号2+2