(1)(x-1)2=9,x-1=±3,所以x1=4,x2=-2;(2)x2+2x=3,x2+2x+1=4,(x+1)2=4,x+1=±2,所以x1=1,x2=-3;(3)x2-x-6=0,△=1-4×1×(-6)=25,x= 1± 25 2 = 1±5 2 ,0(4)(x+1)(2-x)=0,x+1=0或2-x=0,所以x1=-1,x2=2.