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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 29x² - 137x + 108 = 0 Equation 2: 31y² - 146y + 115 = 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: 29x² - 137x + 108 = 0            Factorizing: (29x - 108)(x - 1) = 0 So, x = 108/29 or x = 1. From Equation 2: 31y² - 146y + 115 = 0 Factorizing: (31y - 115)(y - 1) = 0 So, y = 115/31 or y = 1. Comparing x and y: x = 108/29, y = 115/31, x < y x = 108/29, y = 1, x > y x = 1, y = 115/31, x < y x = 1, y = 1, x = y Correct option : E) x = y or no relation

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