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.

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