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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: x² - 34x + 288 = 0 Equation 2: y² - 29y + 210 = 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: x² - 34x + 288 = 0 Factorizing:  (x - 16)(x - 18) = 0 So, x = 16 or x = 18. From Equation 2: y² - 29y + 210 = 0 Factorizing:  (y - 14)(y - 15) = 0 So, y = 14 or y = 15. Comparing x and y: x = 16, y = 14 → x > y x = 16, y = 15 → x > y x = 18, y = 14 → x > y x = 18, y = 15 → x > y Correct option: A) x > y

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