Question

    Solve the quadratic equations and determine the

    relation between x and y: Equation 1: 25x² - 165x + 270 = 0 Equation 2: 27y² - 181y + 300 = 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: (25x - 90)(x - 3) = 0,  x = 90/25 or x = 3. For Equation 2: (27y - 100)(y - 3) = 0,  y = 100/27 or y = 3. Comparison: x = 90/25 > y = 3 and x = 3 < y = 100/27. Answer: E) x = y or no relation

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