Question

    The following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give the answer.

    I). p2 - 26p + 165 = 0 II).

    q2 + 8q - 153 = 0
    A p > q Correct Answer Incorrect Answer
    B p ≥ q Correct Answer Incorrect Answer
    C p = q or relationship between p and q can’t be established. Correct Answer Incorrect Answer
    D p ≤ q Correct Answer Incorrect Answer
    E p < q Correct Answer Incorrect Answer

    Solution

    ATQ, I). p2 - 26p +165 = 0 p² - 15p – 11p + 165 = 0 (p - 15)(p - 11) = 0 p = 15, 11 II). q2  + 8q – 153 = 0 q² - 9q + 17q – 153 = 0 (q+17) (q – 9) = 0 q = -17, 9 Therefore p > q.

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