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    Question

    For each question below, two equations are provided. Solve these equations to determine the relationship between p and q.

    I). 5p2  - p - 4 = 0 II).

    q2 - 12q + 27 = 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, 5p2-p-4=0 Or, 5p2 -5p+4p-4=0 Or, (5p+4)(p-1)=0,  p=1,-4/5 q2 -12q+27=0 or, q2 -9q-3q+27=0 or, (q-9(q-3)=0,  y=9,3 so, p < q

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