MathDB
Quadratic equation

Source: Hanoi Open Math. Olympiad 2007

October 5, 2013
quadraticsalgebrapolynomialalgebra unsolved

Problem Statement

Let p=abcd‾p = \overline{abcd} be a 44-digit prime number. Prove that the equation ax3+bx2+cx+d=0ax^3+bx^2+cx+d=0 has no rational roots.
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