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integer solutions of 2x^2+2ax+a-1=0, where a \in Z

Source: Greece JBMO TST 2000 p3

June 17, 2019
number theorypolynomialInteger

Problem Statement

Find a∈Za\in Z such that the equation 2x2+2ax+a−1=02x^2+2ax+a-1=0 has integer solutions, which should be found.
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