MathDB
x^4 + y^4 + z^4=? if x + y + z = 0 and x^2 + y^2 + z^2 = a

Source: Polish MO second round 1955 p1

August 29, 2024
algebra

Problem Statement

Calculate the sum x4+y4+z4 x^4 + y^4 + z^4 knowing that x+y+z=0 x + y + z = 0 and x2+y2+z2=a x^2 + y^2 + z^2 = a , where a a is a given positive number.
Back to ProblemsView on AoPS