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    Question

    I. 96y² - 76y – 77 = 0 II. 6x² -

    19x + 15 = 0
    A if x>y Correct Answer Incorrect Answer
    B if x≥y Correct Answer Incorrect Answer
    C if x Correct Answer Incorrect Answer
    D if x ≤y Correct Answer Incorrect Answer
    E If x=y or the relationship cannot be established Correct Answer Incorrect Answer

    Solution

    I. 96 y² - 76 y – 77 = 0 96 y² - 132 y + 56 y – 77 = 0 12 y(8 y – 11) + 7 (8 y – 11) = 0 (12 y + 7) (8 y – 11) = 0 y = 11/8,-7/12 II. 6 x² - 19 x + 15 = 0 6 x² - 10 x - 9 x + 15 = 0 2 x(3 x – 5) – 3(3 x – 5) = 0 (2 x – 3) (3 x – 5) = 0 x = 3/2, 5/3 Hence, x>y

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