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2014 Algebra #5

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July 8, 2022
2014Algebra Test

Problem Statement

A positive integer kk is 20142014-ambiguous if the quadratics x2+kx+2014x^2+kx+2014 and x2+kxāˆ’2014x^2+kx-2014 both have two integer roots. Compute the number of integers which are 20142014-ambiguous.
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