MathDB
| \sqrt{x^2+2x+5} - \sqrt{x^2-4x+8}| <3

Source: 2016 Swedish Mathematical Competition p2

May 1, 2021
inequalitiesalgebra

Problem Statement

Determine whether the inequality ∣x2+2x+5−x2−4x+8∣<3 \left|\sqrt{x^2+2x+5}-\sqrt{x^2-4x+8}\right|<3 is valid for all real numbers xx.
Back to ProblemsView on AoPS