Question

1、若X²+y²+½=x+y,求x、y的值

Answer 1

X²+y²+½=x+y

X²-x+1/4+y²-y+1/4=0

(x-1/2)^2+(y-1/2)^2=0

(x-1/2)^2=0,x=1/2

(y-1/2)^2=0,y=1/2