JEE Mathematics · Medium

Quadratic Equations and Inequalities: Sum and product MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Sum and productMediumQuestion 220040

Question

If α + β = 3 and αβ = −4, then |α − β| is:
  1. A
    5
    Correct
  2. B
    √5
  3. C
    √33
  4. D
    7

Correct answer

5

Explanation

(α−β)² = (α+β)²−4αβ = 9−4(−4) = 9+16 = 25. |α−β| = 5.