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    Question

    For which range of 'p' does the expression 19p - 2p²-

    35 have a positive value??
    A 2.5 > p > 7 Correct Answer Incorrect Answer
    B 2.5 ≤ p ≤ 7 Correct Answer Incorrect Answer
    C 2.5 = p = 7 Correct Answer Incorrect Answer
    D 2.5 < p < 7 Correct Answer Incorrect Answer

    Solution

    ATQ: So, 19p - 2p²- 35 > 0 Or, 2p²- 19p + 35 < 0 Or, 2p²- 14p - 5p + 35 < 0 Or, 2p(p - 7) - 5(p - 7) < 0 Or, (2p - 5) (p - 7) < 0 So, p = 2.5 or p = 7 For any value of 'p' > 7, the value of expression 2p²- 19p + 35 becomes, positive. So, 'p' lies between 2.5 and 7.

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