已知实数x,y满足2x+y+y2−y+1/4=0,求x+y的值.
问题描述:
已知实数x,y满足
+y2−y+
2x+y
=0,求x+y的值. 1 4
答
由已知,有
+(y-
2x+y
)2=01 2
∴2x+y=0且y-
=01 2
∴y=
且x=-1 2
=-y 2
1 4
∴x+y=
1 4