已知实数x,y满足(x+y)(x+y+3)-4=0则x+y的值是

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已知实数x,y满足(x+y)(x+y+3)-4=0则x+y的值是
已知实数x,y满足(x+y)(x+y+3)-4=0则x+y的值是

已知实数x,y满足(x+y)(x+y+3)-4=0则x+y的值是
设t=x+y
那么 t(t+3)-4=0
t²+3t-4=0 (t+4)(t-1)=0
所以 t=-4 或t=1
即x+y的值为-4或1