解一元二次方程: (1)(x-1)2=1; (2)x2-3x+1=0.
问题描述:
解一元二次方程:
(1)(x-1)2=1;
(2)x2-3x+1=0.
答
(1)开方得:x-1=1,x-1=-1,
x1=2,x2=0;
(2)b2-4ac=(-3)2-4×1×1=5,
x=
,3±
5
2
x1=
,x2=3+
5
2
.3−
5
2