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

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

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

已知实数a,b,满足1/2|a-b|+√2b+c+(c-1/2)²=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

1/2|a-b|+√2b+c+(c-1/2)²=0,得:
a-b=0
2b+c=0
c-1/2=0
解得:
a=-1/4
b=-1/4
c=1/2
所以:
a(b+c)
=-1/4x(-1/4+1/2)
=-1/4x1/4
=-1/16