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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 24x + 143 = 0 Equation 2: y² - 26y + 165 = 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 + 143 = 0 Factorizing: (x - 11)(x - 13) = 0 So, x = 11 or x = 13. From Equation 2: y² - 26y + 165 = 0 Factorizing: (y - 11)(y - 15) = 0 So, y = 11 or y = 15. Comparing x and y: x = 11, y = 11 → x = y x = 11, y = 15 → x < y x = 13, y = 11 → x > y x = 13, y = 15 → x < y

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