问题
解答题
解方程:
(1)2(x+3)2=x+3;
(2)解方程:2x2-5x+2=0.
答案
(1)2(x+3)2-(x+3)=0,
(x+3)[2(x+3)-1]=0,
(x+3)(2x+5)=0,
∴x+3=0,2x+5=0,
解得x1=-3,x2=-
;5 2
(2)(2x-1)(x-2)=0
∴2x-1=0,x-2=0,
解得x1=
,x2=2.1 2
解方程:
(1)2(x+3)2=x+3;
(2)解方程:2x2-5x+2=0.
(1)2(x+3)2-(x+3)=0,
(x+3)[2(x+3)-1]=0,
(x+3)(2x+5)=0,
∴x+3=0,2x+5=0,
解得x1=-3,x2=-
;5 2
(2)(2x-1)(x-2)=0
∴2x-1=0,x-2=0,
解得x1=
,x2=2.1 2