已知a,b,c满足1\2|a+b|+√(2b+c)+c²+1\4-c=0,求a(b+c)的值

已知a,b,c满足1\2|a+b|+√(2b+c)+c²+1\4-c=0,求a(b+c)的值
已知a,b,c满足1\2|a+b|+√(2b+c)+c²+1\4-c=0,求a(b+c)的值

已知a,b,c满足1\2|a+b|+√(2b+c)+c²+1\4-c=0,求a(b+c)的值
1\2|a+b|+√(2b+c)+（c-1\2)²=0,
所以由非负性得
c=1\2,b=-1\4,a=1\4
a(b+c)=1\4*1\4=1\16