MathDB
Find all real solutions to the equation for positive real p

Source:

September 29, 2010
algebraequationParametric EquationsIMO ShortlistIMO Longlist

Problem Statement

For a positive real number pp, find all real solutions to the equation x2+2px−p2−x2−2px−p2=1.\sqrt{x^2 + 2px - p^2} -\sqrt{x^2 - 2px - p^2} =1.
Back to ProblemsView on AoPS