MathDB
sum 1/(1-p)^2 >=1 if pqr=1

Source: Mathcenter Contest / Oly - Thai Forum 2011 (R1) sl-10 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

November 15, 2022
algebrainequalities

Problem Statement

Let p,q,r∈Rp,q,r\in R with pqr=1pqr=1. Prove that (11−p)2+(11−q)2+(11−r)2≥1\left(\frac{1}{1-p}\right)^2+\left(\frac{1}{1-q}\right)^2+\left(\frac{1}{1-r}\right)^2\ge 1
(Real Matrik)
Back to ProblemsView on AoPS