若实数x、y满足x^2+4x+y^2-6y+13=0,求x 、y的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/03/29 22:40:20
若实数x、y满足x^2+4x+y^2-6y+13=0,求x 、y的值.

若实数x、y满足x^2+4x+y^2-6y+13=0,求x 、y的值.
若实数x、y满足x^2+4x+y^2-6y+13=0,求x 、y的值.

若实数x、y满足x^2+4x+y^2-6y+13=0,求x 、y的值.
x²+4x+4+y²-6y+9=0
(x+2)²+(y-3)²=0
x+2=0
y-3=0
∴x=-2
y=3

x^2+4x+y^2-6y+13=(x+2)^2+(y-3)^2=0 x=-2 y=3

x^2+4x+4+y^2-6y+9=0
(x+2)^2+(y-3)^2=0
x=-2,y=3

x^2+4x+y^2-6y+13
=(x+2)²+(y-3)²=0
(x+2)²>=0,(y-3)²>=0
x+2=0,y-3=0
x=-2
y=3