Question 40
(CZS) For a positive real number $p$, find all real solutions to the equation
$$\sqrt{x^2+2px-p^2}-\sqrt{x^2-2px-p^2}=1.$$
$$\sqrt{x^2+2px-p^2}-\sqrt{x^2-2px-p^2}=1.$$
IMO 1959–1966 - Longlisted Problems (individual years unknown) Question 40
IMO Shortlist · IMO 1959–1966 - Longlisted Problems (individual years unknown)