若y-x+z=-4,x方-(y+z)方=8,则x+y+z=?
问题描述:
若y-x+z=-4,x方-(y+z)方=8,则x+y+z=?
答
因为x方-(y+z)方=8.
所以[x-(y+z)][x+(y+z)]=8
(x-y-z)(x+y+z)=8
-(y-x+z)(x+y+z)=8
又因为y-x+z=-4
所以x+y+z=8/-(-4)=2