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

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