MathDB
Find max of |(x-y)(y-z)(z-x)|

Source: Turkey Junior National Olympiad 2013 P1

November 29, 2013
inequalitiesalgebrapolynomialVietaanalytic geometryfunctioncalculus

Problem Statement

Let x,y,zx, y, z be real numbers satisfying x+y+z=0x+y+z=0 and x2+y2+z2=6x^2+y^2+z^2=6. Find the maximum value of ∣(x−y)(y−z)(z−x)∣ |(x-y)(y-z)(z-x) |
Back to ProblemsView on AoPS