(1)开方得:2x-1=3或2x-1=-3,解得:x1=2,x2=-1;(2)配方得(x+3)2=0,开方得:x1=x2=-3;(3)这里a=1,b=1,c=-3,∵△=1+12=13,∴x= ?1± 13 2 ;(4)方程变形得:x(x-1)-3(x-1)=0,分解因式得:(x-1)(x-3)=0,解得:x1=1,x2=3.