若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y
问题描述:
若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y
答
x2+y2+4x-6y+13=0
(x2+4x+4)+(y2-6y+9)=0
(x+2)^2+(y-3)^2=0
x+2=0
y-3=0
x=-2
y=3