X^2+y^2-2x+6y+10=0,求x+y的值

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X^2+y^2-2x+6y+10=0,求x+y的值

X^2+y^2-2x+6y+10=0,求x+y的值
X^2+y^2-2x+6y+10=0,求x+y的值

X^2+y^2-2x+6y+10=0,求x+y的值
x²-2x+y²+6y+10=0
x²-2x+1+y²+6y+9=0
(x-1)²+(y+3)²=0
x-1=0 y+3=0
∴x=1 y=-3
∴x+y=1-3=-2

X^2+y^2-2x+6y+10=0
﹙x-1﹚²+﹙y+3﹚²=0
x-1=0, y+3=0
x=1, y=-3
x+y=-2

化简为 (x-1)^2 + (y+3)^2 = 0
得 x = 1 , y = -3
因此 x + y = -2

x^2-2x y^2 6y 10=0 x^2-2x 1 y^2 6y 9=0 (x-1)^2 (y 3)^2=0 x-1=0 x=1 y 3=0 y=-3 x y=1-3=-2 x^2-2x y^