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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 29x² - 177x + 270 = 0 Equation 2: 31y² - 152y + 180 = 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

    For Equation 1: (29x - 90)(x - 3) = 0,  x = 90/29 or x = 3. For Equation 2: (31y - 90)(y - 2) = 0,  y = 90/31 or y = 2. Comparison: x = 90/29 > y = 90/31  and x = 3 > y = 2. Answer: A) x > y

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