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

2x+y
+y2−y+
1
4
=0,求x+y的值.

由已知,有

2x+y
+(y-
1
2
2=0
∴2x+y=0且y-
1
2
=0
∴y=
1
2
且x=-
y
2
=-
1
4

∴x+y=
1
4