m^2+n^2-6m+10n+34=0,求m+n

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 17:07:58

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

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

由条件式
m^2+n^2-6m+10n+34=0
→
(m^2-6m+9)+(n^2+10n+25)=0
→
(m-3)^2+(n+5)^2=0
由平方非负性
m=3
n=-5
∴
m+n=-2

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

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

34=9+25
所以(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
平方大于等于0，相加等于0
若有一个大于0，则另一个小于0，不成立。
所以两个都等于0
所以m-3=0,n+5=0
m=3,n=-5
m+n=-2

（m-3）^2+（n+5）^2=0.则m＝3,n＝-5.所以m＋n＝-2.

已知m^2+n^2-6m+10n+34=0,求m-n m^2+n^2-6m+10n+34=0,求m+n m^2+n^2-6m+10n+34=0求m+n的值 m*m+n*n-6m+10n+34=0,求m+n的值 m×m+n×n+2m-6n+10=0,m+n=?赶紧帮忙回答呀,谢谢谢满足m^2+n^2+2m-6n+10=0 m、n等于多少 m²+2m+n²-6n+10=0 则m*n等于? m*+n*+2m-6n+10=0 ,求m+n? 已知m^2+n^2-10m+6n+34=0,求代数式2m+5n的值. 已知m^2+n^2-6m+10n+34=0求2m-3n的值 m的2次方+n-6m+10n+34=0 求m+n的值若m平方+n平方+2m-6n-6n+10=0求m n的值. (m-2n/n-m)-(n/m-n)= m的平方+n的平方-10n+6n+34=0,则（m+n)(n-m)= 若m的平方+n的平方-10m+6n+34=0,则（m+n)(n-m)= m平方+n平方-6m+10n+34=0 m+n=? 已知m²+n²-6m+10n+34=0,则m+n=? 已知m*+n*-6m+10n+34=0,则m+n=?