用配方法解一元二次方程:(1)x2-2x-2=0;(2)2x2+1=3x;(3)6x2-x-12=0
用配方法解一元二次方程:(1)x2-2x-2=0;(2)2x2+1=3x;(3)6x2-x-12=0....
用配方法解一元二次方程:(1)x2-2x-2=0;(2)2x2+1=3x;(3)6x2-x-12=0.
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(1)x2-2x-2=0,
x2-2x=2,
x2-2x+1=2+1,
(x-1)2=3,
x-1=±
,
x1=1+
,x2=1-
;
(2)2x2+1=3x,
2x2-3x=-1,
x2-
x=-
,
x2-
x+
=-
+
,
(x-
)2=
,
x-
=±
,
x1=1,x2=
;
(3)6x2-x-12=0,
x2-
x=2,
x2-
x+
=2+
.,
(x-
)2=
,
x1=
,x2=-
x2-2x=2,
x2-2x+1=2+1,
(x-1)2=3,
x-1=±
3 |
x1=1+
3 |
3 |
(2)2x2+1=3x,
2x2-3x=-1,
x2-
3 |
2 |
1 |
2 |
x2-
3 |
2 |
9 |
16 |
1 |
2 |
9 |
16 |
(x-
3 |
4 |
1 |
16 |
x-
3 |
4 |
1 |
4 |
x1=1,x2=
1 |
2 |
(3)6x2-x-12=0,
x2-
1 |
6 |
x2-
1 |
6 |
1 |
144 |
1 |
144 |
(x-
1 |
12 |
289 |
144 |
x1=
2 |
3 |