问题 解答题
解下列方程:
(1)x2=4x;
(2)x2+5x-2=0;
(3)x2+2x-2=0;
(4)x2-2
2
x+1=0.
答案

(1)x2=4x

x2-4x=0

x(x-4)=0

x1=0,x2=4

(2)x2+5x-2=0

∵a=1,b=5,c=-2

∴x=

-b±
b2-4ac
2a
=
-5±
25+8
2
=
-5±
33
2

(3)x2+2x-2=0

∵a=1,b=2,c=-2

∴x=

-b±
b2-4ac
2a
=
-2±
4+8
2
=-1±
3

(4)x2-2

2
x+1=0

∵a=1,b=-2

2
,c=1

∴x=

-b±
b2-4ac
2a
=
2
2
±
4
2
=
2
±1

补全对话,情景问答
单项选择题