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IMC 2024 Grade 8 — Selection round Question 1

IMC · IMC 2024 Grade 8 — Selection round

Question 1

Nonzero integers $a,b$ satisfy $a^2b^2+a^2+b^2=628$. Find $|a|+|b|$.
  1. $10$
  2. $12$
  3. $14$
  4. $16$
  5. $18$