MathDB

4

Part of 2001 JBMO ShortLists

Problems(1)

Roots of the equation are integers - JBMO Shortlist

Source:

10/30/2010
The discriminant of the equation x2āˆ’ax+b=0x^2-ax+b=0 is the square of a rational number and aa and bb are integers. Prove that the roots of the equation are integers.
quadraticsalgebranumber theory proposednumber theory