Let alpha, beta are two real roots of eq...

Let `alpha, beta` are two real roots of equation `x ^(2) + px+ q =0, p ,q, in R, q ne 0.` If the quadratic equation `g (x) =0` has two roots `alpha + (1)/(alpha) , beta + (1)/(beta)` such that sum of its roots is equal to product of roots, then number of integral values g can attain is :

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