问题
解答题
解方程:
(1)(x-1)2-4=0
(2)x2-4x-1=0
(3)x2+4x-5=0
(4)x(2x+3)=4x+6.
答案
(1)(x-1)2-4=0,
(x-1+2)(x-1-2)=0,
x-1+2=0,x-1-2=0,
x1=-1,x2=3;
(2)x2-4x-1=0,
x2-4x=1,
配方得:x2-4x+4=1+4,
(x-2)2=5,
开方得:x-2=±5
x1=2+
,x2=2-5
;5
(3)x2+4x-5=0,
(x+5)(x-1)=0,
x+5=0,x-1=0,
x1=-5,x2=1;
(4)x(2x+3)=4x+6,
x(2x+3)-2(2x+3)=0,
(2x+3)(x-2)=0,
2x+3=0,x-2=0,
x1=-
,x2=2.3 2