x^2+y^2-x-6y+9.25=0,求x,y的值

这种题目有2个未知数,但只一个方程,一般要用配方法解.

x^2 + y^2 - x - 6y + 9.25 = 0

x^2 - x + 0.25 + y^2 - 6y + 9 = 0

(x - 0.5)^2 +(y - 3)^2 = 0

x = 0.5
y = 3

x^2-x+1/4+y^2-6y+9=0
(x-1/2)^2+(y-3)^2=0
所以x=1/2,y=3