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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. 6x² - 49x + 99 = 0 II. 5y² + 17y + 14 =

    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 x = y or relationship between x and y can’t be established. Correct Answer Incorrect Answer

    Solution

    I. 6x² - 49x + 99 = 0 6x² - 27x  - 22x + 99 = 0 3x(2x – 9) - 11 (2x – 9) = 0 (3x – 11) (2x – 9) = 0 x = 11/3 , 9/2 II. 5y² + 17y + 14 = 0 5y² + 10y  + 7y + 14 = 0 5y(y + 2) + 7(y + 2) = 0 (5y + 7) (y + 2) = 0 y = - 2, 7/5 Hence x > y.

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