问题 解答题

用适当的方法解方程

(1)x2-5x=0

(2)(2x+1)2=4

(3)x(x-1)+3(x-1)=0

(4)x2-2x-8=0.

答案

(1)x2-5x=0,

x(x-5)=0,

x1=0,x2=5;

(2)(2x+1)2=4,

2x+1=±2,

2x+1=2或2x+1=-2,

x1=

1
2
,x2=-
3
2

(3)x(x-1)+3(x-1)=0

(x-1)(x+3)=0

x-1=0或x+3=0

x1=1,x2=-3;

(4)x2-2x-8=0

(x+2)(x-4)=0

x+2=0或x-4=0

x1=-2,x2=4;

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