问题
解答题
解方程
(1)3(x-2)2=x(x-2)
(2)(y+2)2=(3y-1)2.
答案
(1)3(x-2)2=x(x-2),
移项得:3(x-2)2-x(x-2)=0,
(x-2)[3(x-2)-x]=0,
(x-2)(2x-6)=0,
x-2=0,2x-6=0,
解得:x1=2,x2=3;
(2)(y+2)2=(3y-1)2
开方得:y+2=±(3y-1)
即y+2=3y-1,y-2=-(3y-1),
解得:y1=
,y2=3 2
.3 4