6

Part of 1987 India National Olympiad

Problems(1)

Indian Mathematical Olympiad 1987 - Problem 6

Source:

Prove that if coefficients of the quadratic equation ax^2\plus{}bx\plus{}c\equal{}0 are odd integers, then the roots of the equation cannot be rational numbers.

quadraticsgreatest common divisoralgebrapolynomialRational Root Theoremalgebra proposed