已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值

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已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值已知m²﹢n²﹣6m﹢10n﹢34=

已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值
已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值

已知m²﹢n²﹣6m﹢10n﹢34=0,求m+n的值
m²﹢n²﹣6m﹢10n﹢34=0
(m-3)²+(n+5)²=0
m-3=0,n+5=0
m=3,n=-5
m+n=-2

(m-3)²﹢(n+5)²=0, m=3 n=-5 m+n=-2

m²﹢n²﹣6m﹢10n﹢34=0
m²﹣6m+9﹢n²﹢10n﹢25=0
(m-3)²+(n+5)²=0
m=3 n=-5

m²﹢n²﹣6m﹢10n﹢34=0
m^2-6m+9+n^2+10n+25=0
(m-3)^2+(n+5)^2=0
m-3=0 n+5=0
m=3 n=-5
m+n=3-5=-2