x2+4y2-6x+4y+10=0,求x,y的值；求x2+y2的值（因式分解）急

x2+4y2-6x+4y+10=0,求x,y的值；求x2+y2的值（因式分解）急
x2+4y2-6x+4y+10=0,求x,y的值；求x2+y2的值（因式分解）
急

x2+4y2-6x+4y+10=0,求x,y的值；求x2+y2的值（因式分解）急
x^2+4y^2-6x+4y+10=0
(x^2-6x+9)-9+(4y^2+4y+1)-1+10=0
(x^2-6x+9)+(4y^2+4y+1)=0
(x-3)^2+(2y+1)^2=0
x=3
y=-1/2
x^2+y^2
=3^2+(-1/2)^2
=9+1/4
=37/4

由已知，(x-3)^2+(2y+1)^2=0
x=3, y=-0.5
x^2+y^2=9.25