2009(x+y)^2与|x-y-2|/2006的值互为相反数,求 x,y的值 x^2009+y^2006的值
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2009(x+y)^2与|x-y-2|/2006的值互为相反数,求 x,y的值 x^2009+y^2006的值
2009(x+y)^2与|x-y-2|/2006的值互为相反数,求 x,y的值 x^2009+y^2006的值
2009(x+y)^2与|x-y-2|/2006的值互为相反数,求 x,y的值 x^2009+y^2006的值
∵2009(x+y)^2≥0
|x-y-2|/2006≥0
只有当二者都等于0时,才能互为相反数,
所以x+y=0,x-y-2=0,所以x=1,y=-1
所以x^2009+y^2006=1+1=2
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