(1)∵(x-5)2-2(x-5)=0,∴(x-5)(x-5-2)=0,∴x1=5,x2=7;(2)∵x2-4x+1=0,∴a=1,b=-4,c=1,∴x= ?b± b2?4ac 2a = 4± 16?4 2 =2± 3 ,∴x1=2+ 3 ,x2=2? 3 .