求方程2X²-XY-3X+Y=-2006的整数解
3个回答

(2x-y-1)(x-1)=-2005=-2005*1=-401*5

所以:

1)2x-y-1=-2005,x-1=1

x=2,y=2008

2)2x-y-1=2005,x-1=-1

x=0,y=-2006

3)2x-y-1=-1,x-1=2005

x=2006,y=4012

4)2x-y-1=1,x-1=-2005

x=-2004,y=-4010

5)2x-y-1=-401,x-1=5

x=6,y=412

6)2x-y-1=401,x-1=-5

x=-4,y=-410

7)2x-y-1=-5,x-1=401

x=402,y=808

8)2x-y-1=5,x-1=-401

x=-400,y=-806

共8组解