题目内容
(1)x2+x-4=0;
(2)(x+1)(x+2)=2x+4.
(2)(x+1)(x+2)=2x+4.
(1)∵a=1,b=1,c=-4,
∴b2-4ac=1-4×1×(-4)=17,
∴x=
=
,
则x1=
,x2=
;
(2)移项得:(x+1)(x+2)-(2x+4)=0,
(x+1)(x+2)-2(x+2)=0,
(x+1-2)(x+2)=0,
(x-1)(x+2)=0,
则:x-1=0,x+2=0,
解得:x1=1,x2=-2.
∴b2-4ac=1-4×1×(-4)=17,
∴x=
-b±
| ||
| 2a |
-1±
| ||
| 2 |
则x1=
-1+
| ||
| 2 |
-1-
| ||
| 2 |
(2)移项得:(x+1)(x+2)-(2x+4)=0,
(x+1)(x+2)-2(x+2)=0,
(x+1-2)(x+2)=0,
(x-1)(x+2)=0,
则:x-1=0,x+2=0,
解得:x1=1,x2=-2.
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