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AMC10 2027 - Self-practice Set 3 Question 6

AMC10 · AMC10 2027 - Self-practice Set 3

Question 6

Find the sum of real numbers $m$ for which $x^2-2|x|+2=m$ has exactly three distinct real solutions.
  1. $0$
  2. $2$
  3. $5$
  4. $8$
  5. $10$