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MathNet 2004 — Part 02 Question 47

Math Olympiad Vault · MathNet 2004 — Part 02

Question 47

For how many integer values of $a$ the equation
$$
x^{3} + (a-4)x^{2} + (a+4)x + 9 = 0
$$
does it have exactly two distinct integer solutions?
  1. 1
  2. 2
  3. 3
  4. 4
  5. more than 4.