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    Question

    Find the value of p if the quadratic equation x² + px + 36

    = 0 has real and equal roots.
    A 18 Correct Answer Incorrect Answer
    B Both 12 and -12 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ,
    Real and equal roots imply:

    Discriminant = 0 ⇒ p² - 4×1×36 = 0

    ⇒ p² = 144

    ⇒ p = ±12

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