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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