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?
$$
x^{3} + (a-4)x^{2} + (a+4)x + 9 = 0
$$
does it have exactly two distinct integer solutions?
Math Olympiad Vault · MathNet 2004 — Part 02