问题
解答题
解下列方程:
(1)x(x+2)-x-2=0
(2)x2-6x+1=0.
答案
(1)x(x+2)-x-2=0,
x(x+2)-(x+2)=0,
(x+2)(x-1)=0,
x+2=0,x-1=0,
解得x1=-2,x2=1;
(2)x2-6x+1=0,
x2-6x+9-8=0,
(x-3)2=8,
x-3=±2
,2
解得x1=3+2
,x2=3-22
.2
解下列方程:
(1)x(x+2)-x-2=0
(2)x2-6x+1=0.
(1)x(x+2)-x-2=0,
x(x+2)-(x+2)=0,
(x+2)(x-1)=0,
x+2=0,x-1=0,
解得x1=-2,x2=1;
(2)x2-6x+1=0,
x2-6x+9-8=0,
(x-3)2=8,
x-3=±2
,2
解得x1=3+2
,x2=3-22
.2