楼上只算出一种,步骤上有问题哦
m^2=2+n n^2=m+2 m^2-n^2=n-m (m-n)(m+n)=n-m (m-n)(m+n+1)=0
m=n或m+n=-1 当m+n=-1时m^2+n^2=n+m+4 (m+n)^2=m^2+2mn+n^2 1=n+m+4+2mn,2mn=-2 m+2mn+n=-1-2=-3
当m=n时 m^2=m+2 m^2-m-2=0 (m-2)(m+1)=0 m=2或m=-1
m=2时m+2mn+n=2+2*2*2+2=12 m=-1时m+2mn+n=-1-1*-1*2-1=0
所以答案应该是0或-3或12
大哥你耍呢啊