Question 70
Find all real numbers $a$, such that the inequality
$$
x^{4}+2 a x^{3}+a^{2} x^{2}-4 x+3\gt 0
$$
holds true for all real numbers $x$.
$$
x^{4}+2 a x^{3}+a^{2} x^{2}-4 x+3\gt 0
$$
holds true for all real numbers $x$.
MathNet 2006 — Part 02 Question 70
Math Olympiad Vault · MathNet 2006 — Part 02