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MathNet 2023-part-05 — 191 problems (EN–VI) Question 43

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 43

a) Solve the equation in the set of real numbers $[x]^2 - x = -0.99$.

b) Show that, for every $a \le -1$, the equation $[x]^2 - x = a$ has no real solutions.