2009(x+y)^2与|1/2X+3/2y-1|皆大于等于0故2009(x+y)^2=|1/2X+3/2y-1|=0即x+y=0,x+3y=2所以x=-1,y=1
x=-1y=12009(x+y)的方和|1/2X+3/2y-1|都因为非负,即都大于等于0,但是它们是相反数,所以2009(x+y)的方和|1/2X+3/2y-1|都是0,所以x=-y,1/2X+3/2y-1=0,解得x=-1,y=1