Question

已知实数x，y满足

2x+y

+y2-y+

1

4

=0，求x+y的值．

Answer 1

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