OIM 1987 Problem 5

Let $r,s,t$ be the roots of the equation $x(x-2)(3x-7)=2$ . Show that $r,s,t$ are real and positive and determine $\arctan r+\arctan s +\arctan t$ .

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.