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SMO 2010 Junior Round 1 Question 11

SMO · SMO 2010 Junior Round 1

Question 11

Let $x,y$ be real numbers satisfying
$$y=\sqrt{\frac{2008x+2009}{2010x-2011}}+\sqrt{\frac{2008x+2009}{2011-2010x}}+2010.$$
Find $y$.