问题 解答题

(1)用配方法解方程:2y2-4y=2;

(2)解方程:2(x-1)2-5(x-1)+2=0.

答案

(1)2y2-4y=2,

2y2-4y-2=0,

y2-2y-1=0,

(y-1)2-2=0,

(y-1)2=2,

y-1=±

2

解得:y1=

2
+1,y2=-
2
+1;

 (2)2(x-1)2-5(x-1)+2=0,

(x-1-2)[2(x-1)-1]=0,

故(x-3)=0或(2x-3)=0,

解得:x1=3,x2=

3
2

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