若|X-Y|+√2Y+Z+Z²-Z+1/4＝0,求X＋Y＋Z的算术平方根
问题描述：
若|X-Y|+√2Y+Z+Z²-Z+1/4＝0,求X＋Y＋Z的算术平方根
答
|X-Y|+√2Y+Z+Z²-Z+1/4＝0
|X-Y|+√2Y+Z+(Z-1/2)²＝0
X-Y=0
2Y=0
Z-1/2=0
X=1/2
Y=1/2
Z=1/2
X+Y+Z=3/2
X＋Y＋Z的算术平方根=√6/2