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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 41x + 400 = 0 Equation 2: y² - 41y + 420 = 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 - 41x + 400 = 0 Factorizing: (x - 16)(x - 25) = 0 So, x = 16 or x = 25. From Equation 2: y² - 41y + 420 = 0 Factorizing: (y - 20)(y - 21) = 0 So, y = 20 or y = 21. Comparing x and y: x = 16, y = 20, x < y        x = 16, y = 21, x < y x = 25, y = 20, x > y x = 25, y = 21, x > y

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