Question

已知x,y,z满足(x+y-1)²;+|y+z-4|+（z+x-5)²=0,则x+y+z=

Answer 1

(x+y-1)²;+|y+z-4|+（z+x-5)²=0
所以x+y-1=0
y+z-4=0
z+x-5
x相加
2(x+y+z)-10=0
所以x+y+z=5

Answer 2

(x+y-1)²=0
|y+z-4|=0
(z+x-5)²=0
解得x=1
y=0
z=4
所以x+y+z=5