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    Question

    I. 99 x² + 31 x – 110 = 0 II. 6y²

    - 31y + 35 = 0
    A If x < y Correct Answer Incorrect Answer
    B If x > y Correct Answer Incorrect Answer
    C If x = y or no relationship cannot be established between x and y. Correct Answer Incorrect Answer
    D If x ≥ y Correct Answer Incorrect Answer
    E If x ≤ y Correct Answer Incorrect Answer

    Solution

    I. 99 x² + 31 x – 110 = 0 I. 99 x² + 121 x - 90 x – 110 = 0 11 x(9 x + 11) – 10(9 x + 11) = 0 (11 x – 10) (9 x + 11) = 0 ∴x = 10/11 ,- 11/9 II. 6y² - 31y + 35 = 0 6y² - 10y - 21y + 35 = 0 2 y(3 y – 5) - 7 (3 y – 5) = 0 (2 y – 7) (3 y – 5) = 0 ∴y = 7/2 ,5/3 Hence, x<y

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