m^2+n^2-6m+10n+34=0求m+n的值

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m^2+n^2-6m+10n+34=0求m+n的值m^2+n^2-6m+10n+34=0求m+n的值m^2+n^2-6m+10n+34=0求m+n的值很高兴为您m²-6m+9+n²

m^2+n^2-6m+10n+34=0求m+n的值
m^2+n^2-6m+10n+34=0求m+n的值

m^2+n^2-6m+10n+34=0求m+n的值
很高兴为您
m²-6m+9+n²+10n+25
=(m-3)²+(n+5)²=0
所以:
m=3,n=-5
m+n=3-5=-2

化成2个平方 (m-3)^2+(n-5)^2=0
之后就不用说了吧。

m^2+n^2-6m+10n+34=0

(m-3)²+(n+5)²=0
m-3=0,n+5=0
m=3,n=-5
所以
m+n=3-5=-2