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MathNet 2015-part-06 — 191 problems (EN–VI) Question 162

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 162

Solve the equation:
$$
\frac{1}{\sqrt{2014}-\sqrt{x}} + \frac{1}{\sqrt{2015}-\sqrt{x+1}} + \frac{1}{\sqrt{2016}-\sqrt{x+2}} =
\frac{1}{\sqrt{2015-x}-\sqrt{1}} + \frac{1}{\sqrt{2016-x}-\sqrt{2}} + \frac{1}{\sqrt{2017-x}-\sqrt{3}}
$$