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    Question

    I: 3x² - 18x + 24 = 0 II: 5y² + 10y - 15 =

    0 In each of the following question, two equations are given. You have to solve both the equations to find the relation between x and y.
    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: 3x² - 18x + 24 = 0 Dividing by 3: x² - 6x + 8 = 0 Factorizing: (x - 4)(x - 2) = 0 So, x = 4 or x = 2. From equation 2: 5y² + 10y - 15 = 0 Dividing by 5: y² + 2y - 3 = 0 Factorizing: (y + 3)(y - 1) = 0 So, y = -3 or y = 1. Comparing x and y: • x = 4, y = -3, x > y • x = 4, y = 1, x > y • x = 2, y = -3, x > y • x = 2, y = 1, x < y

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