已知实数a,b,c满足1/2|a-b|+根号2b+c+(c-1/2)的平方=0,求a(b+c)的值；

1/2|a-b|+根号2b+c+(c-1/2)的平方=0;
a-b=0;
2b+c=0;
c-1/2=0'
a=-1/4,b=-1/4.c=1/2
(a(b+c)=-1/4(-1/4+1/2)=-1/16
补充部分"
2x-1>=0;
-2x+1>=0;
x>=1/2;x