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MathNet 2006 — Part 04 Question 194

Math Olympiad Vault · MathNet 2006 — Part 04

Question 194

Find all real numbers $x$ such that
$$
x^{2} + \left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{x}{3} \right\rfloor = 10
$$