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    Question

    The question consists of two equations labeled as I and II. Solve both equations, compare their solutions, and establish the relationship between them.

    I).  p 2  – 5p – 126 = 0 II). q

    2  + 9q – 90 = 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, p 2 – 5p – 126 = 0 p2 – 14p + 9p – 126 = 0 p(p – 14) + 9(p – 14) = 0 p = + 14, - 9 q 2  + 9q – 90 = 0 q 2 + 15q – 6q – 90 = 0 q(q + 15) – 6(q + 15) = 0 q = - 15, + 6 Hence, p = q orThe relationship can’t be determined

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