已知|X-8Y|+2(Y-1)^2+3|8Z-3X|=0 求x+y+z

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已知|X-8Y|+2(Y-1)^2+3|8Z-3X|=0 求x+y+z

已知|X-8Y|+2(Y-1)^2+3|8Z-3X|=0 求x+y+z
已知|X-8Y|+2(Y-1)^2+3|8Z-3X|=0 求x+y+z

已知|X-8Y|+2(Y-1)^2+3|8Z-3X|=0 求x+y+z
|X-8Y| + 2(Y-1)^2 + 3|8Z-3X| = 0
|X-8Y| = 0
2(Y-1)^2 = 0
3|8Z-3X| = 0
X = 8Y
Y = 1
Z = 3X/8
X = 8
Y = 1
Z = 3
X+Y+Z = 12

三个式子都大于等于0,和为0
所以x-8y=0,y-1=0,8z-3x=0
y=1,x=8,z=3
x+y+z=12

|x-8y|+2(y-1)²+3|8z-3x|=0
所以x-8y=y-1=8z-3x=0
所以x=8,y=1,z=3
所以x+y+z=12