MathDB
Inequality on APMO P5

Source: APMO 2022 P5

May 17, 2022
inequalitiesAPMOAPMO 2022

Problem Statement

Let a,b,c,da,b,c,d be real numbers such that a2+b2+c2+d2=1a^2+b^2+c^2+d^2=1. Determine the minimum value of (a−b)(b−c)(c−d)(d−a)(a-b)(b-c)(c-d)(d-a) and determine all values of (a,b,c,d)(a,b,c,d) such that the minimum value is achived.
Back to ProblemsView on AoPS