mn+m+n=2,m,n均为整数,m-n=?

mn+m+n=2
mn+m+n+1 = 3
(m+1)(n+1) = 3
m+1=1.m= 0
n+1=3.n = 2
m+1=3.m=2
n+1=1.n = 0
m+1= -1.m= -2
n+1= -3.n = -4
m+1= -3.m= -4
n+1= -1.n = -2
m - n = ±2

m=0 n=2
或
m=2 n=0
m-n=±2

mn+m+n=2
mn+m+n+1 = 3
(m+1)(n+1) = 3
因为m，n均为整数
所以
m+1=1 n+1=3 或 m+1=3 n+1=1
m+1= -1 n+1= -3 或 m+1= -3 n+1= -1
最后得到m - n = ±2

2

-4和-2
也就是说m-n=2或者-2

m=-2,n=-4,m-n=2 或 m=-4,n=-2,m-n=-2

m-n=2或者-2