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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 17x² - 78x + 61 = 0 Equation 2: 19y² - 89y + 70 = 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: 17x² - 78x + 61 = 0 Factorizing: (17x - 61)(x - 1) = 0 So, x = 61/17 or x = 1. From Equation 2: 19y² - 89y + 70 = 0 Factorizing: (19y - 70)(y - 1) = 0 So, y = 70/19 or y = 1. Comparing x and y: x = 61/17, y = 1, x > y x = 1, y = 70/19, x < y Correct option: E) x = y or no relation

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