若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y

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若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y
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若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y
若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y

若X,Y均为实数,且满足X2+Y2+4X—6Y+13=0,求X,Y
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

= x2+4x+4+y2-6y+9
= (x+2)2+(y-3)2=0
x=-2 y=3