Weird Roots

Algebra Level 3

If xx and yy are real numbers such that

(x2+2013x)(y2+2013y)=2013,\left(\sqrt{x^{2} + 2013} - x \right)\left(\sqrt{y^{2} + 2013} - y \right)=2013,

then what is the value of x+y?x + y?

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