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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: 27x² - 114x + 99 = 0 Equation 2: 18y² - 70y + 68 = 0
    A x > y Correct Answer Incorrect Answer
    B x ≥ y Correct Answer Incorrect Answer
    C x < y Correct Answer Incorrect Answer
    D x ≤ y Correct Answer Incorrect Answer
    E x = y or no relation Correct Answer Incorrect Answer

    Solution

    From Equation 1: 27x² - 114x + 99 = 0 Factorizing: (27x - 33)(x - 3) = 0 So, x = 33/27 or x = 3. From Equation 2: 18y² - 70y + 68 = 0 Factorizing: (18y - 34)(y - 2) = 0 So, y = 34/18 or y = 2. Comparing x and y: x = 33/27, y = 2, x < y x = 3, y = 2, x > y Correct option: E) x = y or no relation

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