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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 32x + 207 = 0 Equation 2: y² - 51y + 648 = 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 - 32x + 207 = 0 Factorizing: (x - 23)(x - 9) = 0 So, x = 23 or x = 9. From Equation 2: y² - 51y + 648 = 0 Factorizing: (y - 24)(y - 27) = 0 So, y = 24 or y = 27. Comparing x and y: x = 23, y = 24, x < y x = 23, y = 27, x < y x = 9, y = 24, x < y x = 9, y = 27, x < y

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