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    Question

    In the following questions, two equations numbered I and II are given.  You have to solve both the equations and give answer.

    I. 5x2 – 18x + 16 = 0 II.

    3y2 – 35y - 52 = 0
    A If x > y Correct Answer Incorrect Answer
    B If x < y Correct Answer Incorrect Answer
    C If x ≥ y Correct Answer Incorrect Answer
    D If x ≤ y Correct Answer Incorrect Answer
    E If x = y or Relationship between x & y cannot be established Correct Answer Incorrect Answer

    Solution

    I. 5x2 – 18x + 16 = 0 => 5x2 – 10x – 8x + 16 = 0 => 5x(x – 2) – 8(x – 2) = 0 => (x – 2) (5x - 8) = 0 => x = 2, 8/5 II. 3y2 – 35y - 52 = 0 => 3y2 – 39y + 4y - 52 = 0 => 3y (y – 13) + 4(y – 13) = 0 => (y – 13) (3y + 4) = 0 => y = 13, -4/3 Hence, x = y or the relationship cannot be established.

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