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find the no. of integers values of such that the quadratic expression (x+a)(x+1991) + 1can be factored as (x+b)(x+c). where b and c are integers

find the no. of integers values of  such that the quadratic expression (x+a)(x+1991) + 1can be factored as (x+b)(x+c). where b and c are integers
 

Grade:10

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