问题
解答题
解方程:
(1)3(x-2)2=x(x-2);(2)3x2+2x=3.
答案
解(1)3(x-2)2-x(x-2)=0,
(x-2)[3(x-2)-x]=0,
(x-2)(2x-6)=0,
x1=2,x2=3;
(2)3x2+2x=3,
3x2+2x-3=0,
△=4+36=40,
x=
=-2± 40 6
,-1± 10 3
x1=
,x2=-1+ 10 3
;-1- 10 3
解方程:
(1)3(x-2)2=x(x-2);(2)3x2+2x=3.
解(1)3(x-2)2-x(x-2)=0,
(x-2)[3(x-2)-x]=0,
(x-2)(2x-6)=0,
x1=2,x2=3;
(2)3x2+2x=3,
3x2+2x-3=0,
△=4+36=40,
x=
=-2± 40 6
,-1± 10 3
x1=
,x2=-1+ 10 3
;-1- 10 3