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=0,求m+n的值
由题意:
(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
所以:
m-3=0
n+5=0
m=3;n=-5
m+n=3-5=-2
(m-3)2+(n+5)2=0
m=3,n=-5
m+n=-2
(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
所以m+n=-2