9.5

Part of 1998 All-Russian Olympiad Regional Round

Problems(1)

2 trinomials - All-Russian MO 1998 Regional (R4) 9.5

Source:

The roots of the two monic square trinomials are negative integers, and one of these roots is common. Can the values of these trinomials at some positive integer point equal 19 and 98?

algebratrinomial