Sum of all distinct integral value(s) of α such that equation x^2-αx+α+1=0 has integral roots, is...

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Integral value(s) of a such that the quadratic equation x^(2)+ax+a+1=0 has integral roots is/ar... Integral value(s) of a such that the quadratic equation x^(2)+ax+a+1=0 has integral roots is/ar...
If `a in Z` and the equation `(x-a)(x-10)+1=0` has integral roots, then values of `a` are If `a in Z` and the equation `(x-a)(x-10)+1=0` has integral roots, then values of `a` are
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number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots
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quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots find integral a. #projecteducation quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots find integral a. #projecteducation
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