若m2+n2-n+4m+17/4=0,m=_,n=_.
问题描述:
若m2+n2-n+4m+
=0,m=______,n=______. 17 4
答
∵m2+n2-n+4m+
=(m2+4m+4)+(n2-n+17 4
)=(m+2)2+(n-1 4
)2=0,1 2
∴m+2=0,n-
=0,1 2
∴m=-2,n=
.1 2
故答案为:-2,
.1 2