x-2y-1的绝对值+x的平方+4xy+4y的平方=0|x-2y-1|+(x+2y)²=0由非负性x-2y-1=0x+2y=0解得x=1/2y=-1/4x+y=1/4
|x-2y-1|+x^2+4xy+4y^2=0|x-2y+1|+(x+2y)^2=0因:|x-2y-1|≥0,(x+2y)^2≥0所以有:x-2y-1=0x+2y=0综上解得:x=1/2, y=-1/4所以:x+y=1/2-1/4=1/4