- 整数xy满足方程2xy+x+y=83,则x+y=______或_?
- 整数x y满足方程2xy+x+y=83,则x+y=______或______.
- 2xy+x+y=83
4xy+2x+2y=166
(2x+1)(2y+1)=167=167*1或(-167)*(-1)
由于x,y均为整数，故"2x+1","2y+1"也均为整数，所以：
当2x+1=167,2y+1=1或2x+1=1,2y+1=167时：x+y=83;
当2x+1=-167,2y+1=-1或2x+1=-1,2y+1=-167时：x+y=-85.
即：x+y=(83)或(-85).