Question 107
Find all integers $a$ such that the equation
$$
x^{4} + 2x^{3} + (a^{2} - a - 9)x^{2} - 4x + 4 = 0
$$
has at least one real root.
$$
x^{4} + 2x^{3} + (a^{2} - a - 9)x^{2} - 4x + 4 = 0
$$
has at least one real root.
MathNet 2006 — Part 02 Question 107
Math Olympiad Vault · MathNet 2006 — Part 02