若|2x+y-1|+(x-2y)2=0,则x2+xy+y2的值为_.
若|2x+y-1|+(x-2y)2=0,则x2+xy+y2的值为______.
数学人气:451 ℃时间:2020-02-15 08:51:13
优质解答
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=
,
则y=
.
∴x
2+xy+y
2=
.
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