MathDB
An integer root

Source: Indian RMO 1995 Problem 4

October 26, 2005
indiainteger rootquadratic equationalgebraeisenstein

Problem Statement

Show that the quadratic equation x2+7xāˆ’14(q2+1)=0x^2 + 7x - 14 (q^2 +1) =0 , where qq is an integer, has no integer root.