(1)(x+1)2-4=0,
移项得,(x+1)2=4,
∴x+1=2或x+1=-2,
解得:x1=1,x2=-3;
(2)3(x-2)=5x(x-2),
移项得,3(x-2)-5x(x-2)=0,
因式分解得,(x-2)(5x-3)=0,
解得:x1=2,x2=
;3 5
(3)2x2-5x+1=0,
a=2,b=-5,c=1,
△=b2-4ac=25-8=17,
x =
= ? (?5)±
17
2×2
,5±
17
4
所以,x1=
,x2=5+
17
4
;5?
17
4
(4)x2-4x+3=0,
因式分解得,(x-1)(x-3)=0,
∴x-1=0,x-3=0,
解得:x1=1,x2=3.