已知|x-8y|+2(4y-1)²+3|8z-3x|=0,求x+y+z的值?简便方法用加减直接求出x+y+z

已知|x-8y|+2(4y-1)²+3|8z-3x|=0,求x+y+z的值?简便方法用加减直接求出x+y+z
已知|x-8y|+2(4y-1)²+3|8z-3x|=0,求x+y+z的值?简便方法用加减直接求出x+y+z

已知|x-8y|+2(4y-1)²+3|8z-3x|=0,求x+y+z的值?简便方法用加减直接求出x+y+z
|x-8y|+2(4y-1)²+3|8z-3x|=0
由非负性
x-8y=0.(1)
4y-1=0.(2)
8z-3x=0.(3)
由(2)得
y=0.25
代入(1)得
x-2=0
x=2
代入(3)得
8z-6=0
z=0.75
解得
x=2
y=0.25
z=0.75
则
x+y+z=3