题目内容
解下列方程:
(1)4x(x-1)+3(x-1)=0
(2)y2+5y-4=0(用配方法)
(1)4x(x-1)+3(x-1)=0
(2)y2+5y-4=0(用配方法)
(1)∵原方程可化为:(4x+3)(x-1)=0,
∴4x+3=0或x-1=0,解得x1=-
,x2=1;
(2)∵原方程可化为:y2+5y+
=4+
,即(y+
)2=
,
∴方程两边开方得,y+
=±
,
∴y1=-
-
,y2=-
+
.
∴4x+3=0或x-1=0,解得x1=-
| 3 |
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(2)∵原方程可化为:y2+5y+
| 25 |
| 4 |
| 25 |
| 4 |
| 25 |
| 2 |
| 41 |
| 4 |
∴方程两边开方得,y+
| 25 |
| 2 |
| ||
| 2 |
∴y1=-
| 5 |
| 2 |
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| 2 |
| 5 |
| 2 |
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| 2 |
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