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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: 2x² - 8x + 6 = 0 Equation 2: y² - 7y + 10 = 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: 2x² - 8x + 6 = 0 Dividing by 2: x² - 4x + 3 = 0 Factorizing: (x - 3)(x - 1) = 0 So, x = 3 or x = 1. From equation 2: y² - 7y + 10 = 0 Factorizing: (y - 5)(y - 2) = 0 So, y = 5 or y = 2. Comparing x and y: x = 3, y = 5, x < y x = 3, y = 2, x > y x = 1, y = 5, x < y x = 1, y = 2, x < y Correct option: E) x = y or no relation

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