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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 24x + 135 = 0 Equation 2: y² - 26y + 153 = 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: x² - 24x + 135 = 0 Factorizing: (x - 15)(x - 9) = 0 So, x = 15 or x = 9. From Equation 2: y² - 26y + 153 = 0 Factorizing: (y - 9)(y - 17) = 0 So, y = 9 or y = 17. Comparing x and y: x = 15, y = 9, x > y x = 15, y = 17, x < y x = 9, y = 9, x = y x = 9, y = 17, x < y Correct option: E) x = y or no relation

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