m^2*n^2+m^2+n^2+10mn+16=(m^2+n^2+2mn)+(m^2*n^2+8mn+16)=(m+n)^2+(mn+4)^2=0
所以m+n=0且mn+4=0
{m=2,n=-2}或者{m=-2,n=2}
呵呵,这题只要合理分解就行了……
m^2*n^2+m^2+n^2+10mn+16=(m^2+n^2+2mn)+(m^2*n^2+8mn+16)=(m+n)^2+(mn+4)^2=0
所以m+n=0且mn+4=0
{m=2,n=-2}或者{m=-2,n=2}
呵呵,这题只要合理分解就行了……