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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).   p2  + 16p + 55 = 0 II).

    q2  + 9q + 20 = 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, p2 + 16p + 55 = 0 p2 + 11p + 5p + 55 = 0 p(p + 11) + 5(p + 11) = 0 p = - 11, - 5 q2 + 9q + 20 = 0 q2  + 5q + 4q + 20 = 0 q(q + 5) + 4(q + 5) = 0 q = - 5, - 4 Hence, p ≤ q

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