问题
解答题
用适当方法解下列方程:
(1)x2+x=2;(2)2x2-4x-4=0(请用配方法)
答案
(1)x2+x=2,
x2+x-2=0,
(x+2)(x-1)=0,
则x+2=0,x-1=0,
解得x1=-2,x2=1;
(2)2x2-4x-4=0,
2x2-4x=4,
x2-2x=2,
x2-2x+1=2+1,
(x-1)2=3,
x-1=±
,3
x1=1+
,x2=1-3
.3
用适当方法解下列方程:
(1)x2+x=2;(2)2x2-4x-4=0(请用配方法)
(1)x2+x=2,
x2+x-2=0,
(x+2)(x-1)=0,
则x+2=0,x-1=0,
解得x1=-2,x2=1;
(2)2x2-4x-4=0,
2x2-4x=4,
x2-2x=2,
x2-2x+1=2+1,
(x-1)2=3,
x-1=±
,3
x1=1+
,x2=1-3
.3