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AMC10 2027 - Self-practice Set 5 Question 17

AMC10 · AMC10 2027 - Self-practice Set 5

Question 17

How many positive integers $n$ make $n^2-19n+99$ a perfect square?
  1. $2$
  2. $4$
  3. $6$
  4. $8$
  5. $12$