No zero's allowed, sir.

Algebra Level 5

If there exists a solution \((x,y) \neq (0,0)\) such that...

\(\large ( \sqrt{x^{2}+2014}-x)( \sqrt{y^{2}+2014}-y) = 2014\)

Find the value of \(\large \frac{2014x+y}{4x+y}\).

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