m²;+n²;-6m+10n+34=0

问题描述:

m²;+n²;-6m+10n+34=0

34拆成9+25
则(m²-6m+9)+(n²+10n+25)=0
(m-3)²+(n+5)²=0
平方相加为0则都等于0
所以m-3=0,n+5=0
n=3,m=-5