Question 37
Solve the equation for arbitrary distinct reals $a$, $b$, $c$:
$$
x^3 a - x a^3 + a^3 b - a b^3 + b^3 x - b x^3 = (x-a)(x-b)(x-c)(a-b).
$$
$$
x^3 a - x a^3 + a^3 b - a b^3 + b^3 x - b x^3 = (x-a)(x-b)(x-c)(a-b).
$$
MathNet 2026 — Part 08 Question 37
Math Olympiad Vault · MathNet 2026 — Part 08