Question 194
Find all real numbers $x$ such that
$$
x^{2} + \left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{x}{3} \right\rfloor = 10
$$
$$
x^{2} + \left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{x}{3} \right\rfloor = 10
$$
Math Olympiad Vault · MathNet 2006 — Part 04