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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 31x² - 170x + 216 = 0 Equation 2: 22y² - 132y + 176 = 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: 31x² - 170x + 216 = 0 Factorizing: (31x - 108)(x - 2) = 0 So, x = 108/31 or x = 2. From Equation 2: 22y² - 132y + 176 = 0 Factorizing: (22y - 88)(y - 2) = 0 So, y = 88/22 = 4 or y = 2. Comparing x and y: x = 108/31, y = 4, x < y x = 108/31, y = 2, x > y Correct option: E) x = y or no relation

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