ILL 1966 Problem 31

Solve the equation $|x^2 -1|+ |x^2 - 4| = mx$ as a function of the parameter $m$ . Which pairs $(x,m)$ of integers satisfy this equation?

Dataset text AoPS wiki problems. 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.