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
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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](/uploads/image/z/618121-1-1.jpg?t=%E5%B7%B2%E7%9F%A5%7Cx-8y%7C%2B2%284y-1%29%26%23178%3B%2B3%7C8z-3x%7C%3D0%2C%E6%B1%82x%2By%2Bz%E7%9A%84%E5%80%BC%3F%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E7%94%A8%E5%8A%A0%E5%87%8F%E7%9B%B4%E6%8E%A5%E6%B1%82%E5%87%BAx%2By%2Bz)
|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
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
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