(1)x2=64 (2)5x2-2/5=0 (3)(x+5)2=16 (4)8(3-x)2-72=0 (5)2y=3y2 (6)2(2x-1)-x(1-2x)=0 (7)3x(x+2)=5(x+2) (8)(1-3y)2+2(3y-1)=0

问题描述:

(1)x2=64                      
(2)5x2-

2
5
=0                 
(3)(x+5)2=16
(4)8(3-x)2-72=0             
(5)2y=3y2
(6)2(2x-1)-x(1-2x)=0
(7)3x(x+2)=5(x+2)
(8)(1-3y)2+2(3y-1)=0.

(1)∵(±8)2=64,
∴x=±8,
即x1=8,x2=-8;
(2)移项得,5x2=

2
5

系数化为1得,x2=
2
25

x=±
2
5

即x1=
2
5
,x2=-
2
5

(3)x+5=±4,
x1=-1,x2=-9;
(4)移项,系数化为1得,(3-x)2=9,
3-x=±3,
即x1=6,x2=0;
(5)移项得,3y2-2y=0,
y(3y-2)=0,
∴y=0,3y-2=0,
解得y1=0,y2=
2
3

(6)(2x-1)(2+x)=0,
∴2x-1=0,2+x=0,
解得x1=
1
2
,x2=-2;
(7)移项得,3x(x+2)-5(x+2)=0,
(x+2)(3x-5)=0,
∴x+2=0,3x-5=0,
解得x1=-2,x2=
5
3

(8)(3y-1)(3y-1+2)=0,
∴3y-1=0,3y+1=0,
解得y1=
1
3
,y2=-
1
3