Atrisini vienādojumu:

\[\begin{aligned} & \frac{1}{\sqrt{x-2012}+\sqrt{x-2010}}+\frac{1}{\sqrt{x-2010}+\sqrt{x-2008}}+\ldots+ \\ & +\frac{1}{\sqrt{x-2}+\sqrt{x}}+\frac{1}{\sqrt{x}+\sqrt{x+2}}+\ldots+\frac{1}{\sqrt{x+2010}+\sqrt{x+2012}}=\frac{1}{\sqrt{2}} . \end{aligned}\]