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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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