题目内容
用适当的方法解方程:
(1)9(2x-5)2-4=0
(2)2(x-3)2=3x-9.
(1)9(2x-5)2-4=0
(2)2(x-3)2=3x-9.
(1)9(2x-5)2-4=0,
[3(2x-5)+2][3(2x-5)-2]=0,
(6x-15+2)(6x-15-2)=0,
(6x-13)(6x-17)=0,
6x-13=0或6x-17=0,
x1=
,x2=
;
(2)2(x-3)2=3x-9,
2(x-3)2-3(x-3)=0,
(x-3)[2(x-3)-3]=0,
(x-3)(x-9)=0,
x-3=0或x-9=0,
x1=3,x2=9.
[3(2x-5)+2][3(2x-5)-2]=0,
(6x-15+2)(6x-15-2)=0,
(6x-13)(6x-17)=0,
6x-13=0或6x-17=0,
x1=
| 13 |
| 6 |
| 17 |
| 6 |
(2)2(x-3)2=3x-9,
2(x-3)2-3(x-3)=0,
(x-3)[2(x-3)-3]=0,
(x-3)(x-9)=0,
x-3=0或x-9=0,
x1=3,x2=9.
练习册系列答案
相关题目