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Quadratic and a not-prime

Source: 2016 SDMO High School Problem 1/2016 SDMO Middle School Problem 5

August 25, 2016
quadratics

Problem Statement

Suppose aa and bb are integers such that x2+ax+b+1=0x^2+ax+b+1=0 has 22 positive integer solutions. Show that a2+b2a^2+b^2 is not prime.
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