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AIMO 2021 Senior secondary — Preliminary (Open Trial 1) Question 12

AIMO · AIMO 2021 Senior secondary — Preliminary (Open Trial 1)

Question 12

For real $x,y$, find the minimum of $2x^2+4xy+3y^2+6y+4$.
  1. -3
  2. -5
  3. 5
  4. 3