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VTMO 2026 - Grade 9 - Semifinal - SET 09 - Self-study Question 17

VTMO · VTMO 2026 - Grade 9 - Semifinal - SET 09 - Self-study

Question 17

Ten equations $x^2+a_ix+b_i=0$ have 20 distinct roots in total, namely ±1,±2,...,±10. Let M be the minimum possible sum of the b_i. Find the final digit of |M|.
  1. 0
  2. 1
  3. 2
  4. 5
  5. 9