Problem

Source: Brazil National Olympiad 2020 2 Level 2

Tags: quadratic equation, number theory, quadratics, Brazil, Brazilian Math Olympiad



The following sentece is written on a board: The equation $x^2-824x+\blacksquare 143=0$ has two integer solutions. Where $\blacksquare$ represents algarisms of a blurred number on the board. What are the possible equations originally on the board?