MathDB
three variables three equations

Source: Indonesia TST 2016 Round 3

March 24, 2024
algebrasystem of equations

Problem Statement

Determine all triples of real numbers (x,y,z)(x, y, z) which satisfy the following system of equations: {x+y+z=0x3+y3+z3=90x5+y5+z5=2850. \begin{cases} x+y+z=0 \\ x^3+y^3+z^3 = 90 \\ x^5+y^5+z^5=2850. \end{cases}
Back to ProblemsView on AoPS