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    Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 37x² - 172x + 135 = 0 Equation 2: 29y² - 132y + 103 = 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: 37x² - 172x + 135 = 0 Factorizing: (37x - 135)(x - 1) = 0 So, x = 135/37 or x = 1. From Equation 2:        29y² - 132y + 103 = 0 Factorizing: (29y - 103)(y - 1) = 0 So, y = 103/29 or y = 1. Comparing x and y: x = 135/37, y = 103/29, x > y x = 135/37, y = 1, x > y x = 1, y = 103/29, x < y x = 1, y = 1, x = y Correct option : E) x = y or no relation

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