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2(x-1)的平方加上∣2y-1∣=-∣Z+1∣求X+y+Z的值
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2(x-1)的平方加上∣2y-1∣=-∣Z+1∣求X+y+Z的值
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答案和解析
∵2(x-1)²+∣2y-1∣=-∣Z+1∣,
∴2(x-1)²+∣2y-1∣+∣Z+1∣=0
又∵2(x-1)²≥0,∣2y-1|≥0,∣Z+1∣≥0,
∴x-1=0,x=1;
2y-1=0,y=1/2;
Z+1=0,z=-1.
∴x+y+z=1/2
∴2(x-1)²+∣2y-1∣+∣Z+1∣=0
又∵2(x-1)²≥0,∣2y-1|≥0,∣Z+1∣≥0,
∴x-1=0,x=1;
2y-1=0,y=1/2;
Z+1=0,z=-1.
∴x+y+z=1/2
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