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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

Let α, β are two real roots of equation x^2 + px + q = 0, p, q ∈ ℝ,...

Let α,β\alpha, \beta are two real roots of equation x2+px+q=0,p,q∈R,q≠0x^2 + px + q = 0, p, q \in \mathbb{R}, q \ne 0. If the quadratic equation g(x)=0g(x) = 0 has two roots α+1α,β+1β\alpha + \frac{1}{\alpha}, \beta + \frac{1}{\beta} such that sum of its roots is equal to product of roots, then number of integral values qq can attain is :

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