MathDB

A1

Part of 2019 JBMO Shortlist

Problems(1)

JBMO Shortlist 2019 A1

Source:

9/12/2020
Real numbers aa and bb satisfy a3+b3−6ab=−11a^3+b^3-6ab=-11. Prove that −73<a+b<−2-\frac{7}{3}<a+b<-2. Proposed by Serbia
algebrainequalitiesJBMO