JEE Mathematics · Easy

Quadratic Equations and Inequalities: Forming equation MCQ

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

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Forming equationEasyQuestion 220006

Question

The quadratic equation with roots 2 and −3 is:
  1. A
    x² − x − 6 = 0
  2. B
    x² + x − 6 = 0
    Correct
  3. C
    x² − x + 6 = 0
  4. D
    x² + x + 6 = 0

Correct answer

x² + x − 6 = 0

Explanation

Sum = 2+(−3) = −1, product = 2×(−3) = −6. Equation: x² − (sum)x + product = x² + x − 6 = 0.