m²;+n²;-6m+10n+34=0

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m²;+n²;-6m+10n+34=0m²;+n²;-6m+10n+34=0m²;+n²;-6m+10n+34=034拆成9+25则(m&s

m²;+n²;-6m+10n+34=0
m²;+n²;-6m+10n+34=0

m²;+n²;-6m+10n+34=0
34拆成9+25
则(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
平方相加为0则都等于0
所以m-3=0,n+5=0
n=3,m=-5

m²+n²-6m+10n+9+25=0
(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
m-3=0 n+5=0
m=3 n=-5

这种类型的问题在于凑完全平方式