MathDB
a^4+b^5+c^6-c if a,b,c roots of x^3-x-1 = 0

Source: 9th QEDMO p2 Juniors (21-22. 9. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507

May 15, 2021
polynomialalgebraCubic

Problem Statement

Let a,b,ca,b,c be the three different solutions of x3−x−1=0x^3-x-1 = 0. Compute a4+b5+c6−ca^4+b^5+c^6-c.
Back to ProblemsView on AoPS