# Floors Are Negligible

Algebra Level 5

$\large x+\dfrac{2016}{x}=\lfloor x\rfloor+\dfrac{2016}{\lfloor x\rfloor}$

Find the sum of all non-integer real numbers $$x$$ that satisfy the equation above.

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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