(1)∵x2-4x+1=0,∴x2-4x+4=-1+4,∴(x-2)2=3,∴x1=2+ 3 ,x2=2- 3 ;(2)原方程可化为:x2+2x+1-4x=0,∴x2-2x+1=0,∴(x-1)2=0,∴x1=x2=1.