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easy equation

Source: Source: 3er National Women's Contest of Mexican Mathematics Olympiad 2024, level 1 p1

June 13, 2024
algebra

Problem Statement

Let x x be a real number. Determine the solution to the following equation: x2+11+x2+22+x2+33++x2+20242024=2024 \frac{x^2 + 1}{1} + \frac{x^2 + 2}{2} + \frac{x^2 + 3}{3} + \ldots + \frac{x^2 + 2024}{2024} = 2024