No Unsolved Olympiad Problem Found; Only Elementary System a+b=25, ab=100 — E8 Intelligence Research

FINDING: Search returned no genuine unsolved olympiad problem — only YouTube clickbait titles and one physics-contest proceedings volume; the only concrete mathematics present is the elementary symmetric system a+b=25, ab=100. | MATH: a+b=25, ab=100 ⇒ roots of t²−25t+100=0 ⇒ t=(25±√(625−400))/2=(25±15)/2 ⇒ {a,b}={20,5}. Discriminant Δ=225=15². | CONNECTION: The pair (20,5) has ratio 4:1 and sum 25=5²; product 100=10². No φ, no 0.382/0.618/0.786/1.618/2.618, no base-60, no crystallographic or root-system structure appears. The only "harmony" is the trivial perfect-square discriminant. | DEPTH: 1 FINDING: No evidence of any unsolved olympiad problem exists in these results; the arXiv item is a solved contest proceedings, not an open problem. | MATH: arXiv:1110.4864v2 = "Mathematical Physics: Problems and Solutions of the Students Training Contest Olympiad in Mathematical and Theoretical Physics (May 21–24, 2010)" — statements AND solutions included. | CONNECTION: None extractable; no co Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com