JEE Mathematics · Easy

Quadratic Equations and Inequalities: Vieta application MCQ

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

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Vieta applicationEasyQuestion 220038

Question

The roots of x² − 7x + 12 = 0 are:
  1. A
    3 and 4
    Correct
  2. B
    2 and 6
  3. C
    1 and 12
  4. D
    −3 and −4

Correct answer

3 and 4

Explanation

Factoring: (x−3)(x−4) = 0 → x = 3 or x = 4. Verify: 3+4 = 7 and 3×4 = 12 ✓.