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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 17x² - 94x + 120 = 0 Equation 2: 13y² - 45y + 135 = 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: 17x² - 94x + 120 = 0 Factorizing: (17x - 60)(x - 2) = 0 So, x = 60/17 or x = 2. From Equation 2: 13y² - 45y + 135 = 0 Factorizing: (13y - 45)(y - 3) = 0 So, y = 45/13 or y = 3. Comparing x and y: x = 60/17, y = 3, x > y x = 2, y = 45/13, x < y x = 2, y = 3, x < y Correct option: E) x = y or no relation

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