(1)4x 2-8x-5=0(用配方法)
移项得:4x 2-8x=5,
则x 2-2x=
5
4 ,
x 2-2x+1=
5
4 +1,
(x-1) 2=
9
4 ,
x-1=±
3
2 ,
x 1=
5
2 ;x 2=-
1
2 .
(2)4x 2-25=0(用因式分解法)
(2x+5)(2x-5)=0,
解得:x 1=-2.5;x 2=2.5;
(3)4(x-2) 2-120=1
4(x-2) 2-121=0,
[2(x-2)+11)][2(x-2)-11]=0,
解得:x 1=-3.5;x 2=7.5;
(4)x 2+x-6=0
(x-2)(x+3)=0,
解得:x 1=2;x 2=-3.