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    Question

    Solve the quadratic equations and determine the relation

    between x and y: Equation 1: 6x² - 24x + 18 = 0 Equation 2: 5y² - 20y + 15 = 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: 6x² - 24x + 18 = 0 Dividing by 6: x² - 4x + 3 = 0 Factorizing: (x - 3)(x - 1) = 0 So, x = 3 or x = 1. From equation 2: 5y² - 20y + 15 = 0 Dividing by 5: y² - 4y + 3 = 0 Factorizing: (y - 3)(y - 1) = 0 So, y = 3 or y = 1. Comparing x and y: x = 3, y = 3, x = y x = 3, y = 1, x > y x = 1, y = 3, x < y x = 1, y = 1, x = y Correct option: E) x = y or no relation

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