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    1. Home
    2. Questions
    3. Quantitative Aptitude
    4. Algebra
    5. If √x + 1/√x = 2 then find the value of 3x2 + 1/3x2.

    Question

    If √x + 1/√x = 2 then find the value of

    3x2 + 1/3x2.
    A 10/3 Correct Answer Incorrect Answer
    B 20/3 Correct Answer Incorrect Answer
    C 25/3 Correct Answer Incorrect Answer
    D 30/3 Correct Answer Incorrect Answer

    Solution

    √x + 1/√x = 2 Squaring on both sides (√x + 1/√x)2 = 4 x + (1/x) + 2 = 4 x + 1/x = 2 By observing the above equation the value of x is 1 = 3x2 + 1/3x2 = 3(1) + 1/3(1) = 3 + 1/3 = 10/3

    Practice Next
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