题目内容

计算或解方程
8
+3
1
3
-
1
2
+
3
2

(2-
5
)2005(2+
5
)2006

③3(x-2)2=x(x-2);
1
2
x2-
1
3
x-
1
6
=0
8
+3
1
3
-
1
2
+
3
2

=2
2
+
3
-
2
2
+
3
2

=
3
2
2
+
3
3
2


(2-
5
)
2005
(2+
5
)
2006

=[(2-
5
)(2+
5
)]
2005
•(2+
5

=(4-5)2005•(2+
5

=-(2+
5

=-2-
5


③3(x-2)2=x(x-2)
3(x-2)2-x(x-2)=0
(x-2)[3(x-2)-x]=0
(x-2)(2x-6)=0
∴x-2=0或2x-6=0
∴x1=2,x2=3.

1
2
x2-
1
3
x-
1
6
=0

3x2-2x-1=0
(3x+1)(x-1)=0
3x+1=0或x-1=0
∴x1=-
1
3
,x2=1.
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