解:(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
∵(m-3)²蠢孙≥0,(n+5)²≥唤扰0
∴m-3=n+5=0
∴带链链m=3,n=-5
∴m+n=-2
m²纯敏拦拿咐+n²-6m+10n+34=0
(m-3)²+(n+5)²做胡=0
m-3=0
n+5=0
m=3
n=-5
m+n=3-5=-2
m²+n²-6m+10n+34=0
m²-6m+9+(n²激指枝逗培+10n+25)=0
(m-3)²+(n+5)²明敏=0
m=3, n=-5
m+n=-2
m²和唤指铅+n²唤逗凯-6m+10n+34=0
(m-3)²+(n+5)²=0
所以
m=3 n=-5
m+n=-5+3=-2
14 望采纳