m²+n²-n+4m+17/4=0 ,则m= n=

m²+n²-n+4m+17/4=0 ,则m= n=
m²+n²-n+4m+17/4=0 ,则m= n=

m²+n²-n+4m+17/4=0 ,则m= n=
m²+n²-n+4m+17/4=0
(n^2-n+1/4)+(m^2+4m+16)=0
(n-1/2)^2+(m+2)^2=0
则m=-2 n=1/2
多谢了!

m²+n²-n+4m+17/4=0
(m-2)²+（n-1/2)²=0
由非负性知道
m-2=0
n-1/2=0
m=2
n=1/2
祝学习进步我算出来 （n²-n+1/4）+（m²+4m+16/4）=0 (n-1/2)²+（m+4/2）²=0 n=1/2 ...

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m²+n²-n+4m+17/4=0
(m-2)²+（n-1/2)²=0
由非负性知道
m-2=0
n-1/2=0
m=2
n=1/2
祝学习进步

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