OME 1996 Problem 4

For each real value of $p$ , find all real solutions of the equation $\sqrt{x^2 - p}+2\sqrt{x^2-1} = x$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.