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

2025-04-27 23:50:12
推荐回答(1个)
回答1:

|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

x+y+z=3