若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里

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若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里
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若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里
若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z
2y+z在根号里

若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里
2|X-Y|+√(2Y+Z)+Z^2-Z+1/4=0,则
2|X-Y|+|+√(2Y+Z)+(Z-1/2)^2=0 ,方程有三个零点,即
x-y=0……1式,
2y+z=0……2式,
z-1/2=0……3式
解之得,x=y=-1/4,z=1/2
X+Y+Z=-1/4-1/4+1/2=0
或1式+2式,得:X+Y+Z=0