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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 30x + 221 = 0 Equation 2: y² - 28y + 189 = 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 - 30x + 221 = 0 Factorizing: (x - 13)(x - 17) = 0 So, x = 13 or x = 17. From Equation 2: y² - 28y + 189 = 0 Factorizing: (y - 9)(y - 21) = 0 So, y = 9 or y = 21. Comparing x and y: x = 13, y = 9 → x > y x = 13, y = 21 → x < y x = 17, y = 9 → x > y x = 17, y = 21 → x < y Correct option: E) x = y or no relation

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