(1)(x+1) 2 =(1-2x) 2 , 开方得:x+1=1-2x或x+1=-(1-2x), 解得:x 1 =2,x 2 =0; (2)x 2 -6x+8=0, 因式分解得:(x-2)(x-4)=0, 可得x-2=0或x-4=0, 解得:x 1 =2,x 2 =4; (3)x 2 -2
变形得:x 2 -2
解得:x 1 =x 2 =
(4)x(x+4)=21, 整理得:x 2 +4x-21=0,即(x-3)(x+7)=0, 可得x-3=0或x+7=0, 解得:x 1 =-7,x 2 =3; (5)-2x 2 +2x+1=0, 这里a=-2,b=2,c=1, ∵△=4+8=12>0, ∴x=
则x 1 =
(6)x 2 -(2a-b)x+a 2 -ab=0, 因式分解得:(x-a)(x-a+b)=0, 可得x-a=0或x-a+b=0, 解得:x 1 =a,x 2 =a-b. |