Question 103
Prove that any real solution of
$$
x^{3}+p x+q=0
$$
satisfies the inequality $4 q x \leq p^{2}$.
$$
x^{3}+p x+q=0
$$
satisfies the inequality $4 q x \leq p^{2}$.
MathNet 2003 — Part 01 Question 103
Math Olympiad Vault · MathNet 2003 — Part 01