Question 181
a) Prove that, for every integer $k$, the equation $x^3 - 24x + k = 0$ has at most one integer solution.
b) Prove that the equation $x^3 + 24x - 2016 = 0$ has exactly one integer solution.
b) Prove that the equation $x^3 + 24x - 2016 = 0$ has exactly one integer solution.