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Find all inetger s.t....

Source: India RMO 1991 Problem 6

October 15, 2005
quadraticsalgebraquadratic formula

Problem Statement

Find all integer values of aa such that the quadratic expression (x+a)(x+1991)+1(x+a)(x+1991) +1 can be factored as a product (x+b)(x+c)(x+b)(x+c) where b,cb,c are integers.
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