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      Question

      The quadratic equation (p + 1)x 2 -  8(p +

      1)x + 8(p + 16) = 0 (where p ≠ -1) has equal roots. find the value of p.
      A 14 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 13 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      (p + 1)x2 - 8(p + 1)x + 8(p + 16) = 0, p ≠ -1 Since, above equation has equal roots, So discriminant, D = b2 -4ac = 0 Hence {-8(p + 1)}2 - 4 (p + 1) 8(p + 16) = 0 or 32(p+1) { 2p - (p+16)} = 0 or 32(p+1) (p-14) = 0 So p = -1, 14 as p ≠ -1, So p = 14

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