已知实数x,y,z满足2|x-y|+√2y+z+z2-z+1/4=0求x+y+z的值
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已知实数x,y,z满足2|x-y|+√2y+z+z2-z+1/4=0求x+y+z的值
已知实数x,y,z满足2|x-y|+√2y+z+z2-z+1/4=0求x+y+z的值
已知实数x,y,z满足2|x-y|+√2y+z+z2-z+1/4=0求x+y+z的值
2|x-y|+√2y+z+z2-z+1/4=0
2|x-y|+√2y+z+(z-1/2)²=0
∴x-y=0
2y+z=0
z-1/2=0
∴x=-1/4,y=-1/4,z=1/2
∴x+y+z=0
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