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MathNet 2010 — Part 01 Question 79

Math Olympiad Vault · MathNet 2010 — Part 01

Question 79

Find all $x$ satisfying the equality
$$
[x^2] - [-x^2] - 8[x] + 2 = 0.
$$
(Here $[x]$ stands for the greatest integer not exceeding $x$.)