问题
解答题
(1)x2+x-4=0;
(2)(x+1)(x+2)=2x+4.
答案
(1)∵a=1,b=1,c=-4,
∴b2-4ac=1-4×1×(-4)=17,
∴x=
=-b± b2-4ac 2a
,-1± 17 2
则x1=
,x2=-1+ 17 2
;-1- 17 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.