若|2x+y-1|+(x-2y)2=0,则x2+xy+y2的值为_.
问题描述:
若|2x+y-1|+(x-2y)2=0,则x2+xy+y2的值为______.
答
依题意得:|2x+y-1|=0,(x-2y)2=0
∴2x+y-1=0①,x-2y=0②,
①×2+②,得5x=2,
x=
,2 5
则y=
.1 5
∴x2+xy+y2=
.7 25