问题
选择题
若实数x,y满足(x+y)(x+y-3)+2=0,则x+y的值为( )
A.-1或-2
B.-1或2
C.1或-2
D.1或2
答案
(x+y)(x+y-3)+2=0,
(x+y)2-3(x+y)+2=0,
(x+y-2)(x+y-1)=0,
x+y-2=0,x+y-1=0,
x+y=2,x+y=1,
故选D.
若实数x,y满足(x+y)(x+y-3)+2=0,则x+y的值为( )
A.-1或-2
B.-1或2
C.1或-2
D.1或2
(x+y)(x+y-3)+2=0,
(x+y)2-3(x+y)+2=0,
(x+y-2)(x+y-1)=0,
x+y-2=0,x+y-1=0,
x+y=2,x+y=1,
故选D.