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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 x^2 - px + q = 0 where p ∈ ℝ, q ∈ ℝ, pq ≠ 0 have the roots α, β...

Let x2−px+q=0x^2 - px + q = 0 where p∈R,q∈R,pq≠0p \in \mathbb{R}, q \in \mathbb{R}, pq \ne 0 have the roots α,β\alpha, \beta such that α+2β=0\alpha + 2\beta = 0, then :

Options

  1. A2p2+q=02p^2 + q = 0
  2. B2q2+p=02q^2 + p = 0
  3. Cq<0q < 0
  4. Dq>0q > 0.

Correct answer

A. 2p2+q=02p^2 + q = 0

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