MathDB

4

Part of 2016 Romanian Master of Mathematics

Problems(1)

Nice inequality

Source: RMM 2016, Problem 4

2/28/2016
Let xx and yy be positive real numbers such that: x+y2016≥1x+y^{2016}\geq 1. Prove that x2016+y>1−1100x^{2016}+y> 1-\frac{1}{100}
algebrainequalitiesRMMRMM 2016