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Question 220033
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Roots and coefficients MCQ

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Roots and coefficientsHardQuestion 220033

Question

If α, β are roots of px² + qx + r = 0, then α² + β² equals:
  1. A
    (q² − 2pr)/p²
    Correct
  2. B
    (q² + 2pr)/p²
  3. C
    q²/p² − r/p
  4. D
    None

Correct answer

(q² − 2pr)/p²

Explanation

α + β = −q/p, αβ = r/p. α²+β² = (α+β)²−2αβ = q²/p² − 2r/p = (q²−2pr)/p².

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