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    Question

    I. 2x² + 15 x - 27 = 0 II. 3 y² + 25 y

    - 18 = 0
    A If x ≥ y Correct Answer Incorrect Answer
    B If x ≤ y Correct Answer Incorrect Answer
    C If x > y Correct Answer Incorrect Answer
    D If x < y Correct Answer Incorrect Answer
    E If relationship between x and y cannot be established or x = y Correct Answer Incorrect Answer

    Solution

    I. 2x² + 15 x - 27 = 0 2x² - 3 x + 18 x - 27 = 0 x (2 x – 3) + 9 (2 x – 3) = 0 (x + 9) (2 x – 3) = 0 x = - 9, 3/2 II. 3 y² + 25 y - 18 = 0 3 y² - 2 y + 27 y - 18 = 0 y (3 y – 2) + 9 (3 y – 2) = 0 (y + 9) (3 y – 2) = 0 y = - 9, 2/3 Hence, relationship cannot be established between x and y.

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