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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 29x + 210 = 0 Equation 2: y² - 27y + 182 = 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 - 29x + 210 = 0 Factorizing: (x - 14)(x - 15) = 0 So, x = 14 or x = 15. From Equation 2: y² - 27y + 182 = 0 Factorizing: (y - 13)(y - 14) = 0 So, y = 13 or y = 14. Comparing x and y: x = 14, y = 13 → x > y x = 14, y = 14 → x = y x = 15, y = 13 → x > y x = 15, y = 14 → x > y

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