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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 40x + 375 = 0 Equation 2: y² - 36y + 324 = 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 - 40x + 375 = 0 Factorizing: (x - 15)(x - 25) = 0 So, x = 15 or x = 25. From Equation 2: y² - 36y + 324 = 0 Factorizing: (y - 18)(y - 18) = 0 So, y = 18. Comparing x and y: x = 15, y = 18, x < y x = 25, y = 18, x > y

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