已知m^2+n^2-6m+10n+34=0,求m-n
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已知m^2+n^2-6m+10n+34=0,求m-n已知m^2+n^2-6m+10n+34=0,求m-n已知m^2+n^2-6m+10n+34=0,求m-n原式=(m^2-6m+9)+(n^2+10n
已知m^2+n^2-6m+10n+34=0,求m-n
已知m^2+n^2-6m+10n+34=0,求m-n
已知m^2+n^2-6m+10n+34=0,求m-n
原式=(m^2-6m+9)+(n^2+10n+25)
=(m-3)^2+(n+5)^2
m=3
n=-5
m-n=8
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m²-6m+9+n²+10n+25=0
(m-3)²+(n+5)²=0
则：m-3=0，n+5=0
得：m=3，n=-5
所以，m-n=8
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m^2+n^2-6m+10n+34=0
（m²-6m+9）+（n²+10n+25）=0
（m-3）²+（n+5）²=0
∵（m-3）²≥0，（n+5)²≥0
∴m-3=0，n+5=0
∴m=3，n=-5
m-n=3-（-5）=8
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