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MathNet 2025-part-01 — 187 problems (EN–VI) Question 126

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 126

Consider the equation $(x^2 - 3)^2 = x + 3$.

(1) Find the integer solutions of the equation.

(2) Find the product of the non-integer solutions of the equation.