解方程:(1)4x 2 -8x-5=0(用配方法)
1个回答

(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.