TUYMAADA 2010 Problem 1
Baron Münchausen boasts that he knows a remarkable quadratic triniomial with positive coefficients. The trinomial has an integral root; if all of its coefficients are increased by , the resulting trinomial also has an integral root; and if all of its coefficients are also increased by , the new trinomial, too, has an integral root. Can this be true?
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.
Similar problems
These problems have the most words in common with this statement.