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MathNet 2024-part-01 — 168 problems (EN–VI) Question 146

Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)

Question 146

Suppose that $a, b$ are real numbers such that the expressions $a^2 + b$ and $a + b^2$ share the same value. What is the smallest possible shared value?