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    Question

    √(2x - 3) + √(2x + 3) = 3 + √3,  then value of x

    is.
    A 5 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    √(2x - 3) + √(2x + 3) = 3 + √3 Squaring on both sides, {√(2x - 3) + √(2x + 3)}2 = (3 + √3)2  or  2x - 3 + 2x + 3 + 2 √{(2x)2 - (3) 2} = 9 + 3 + 2 x 3 √3 `` ` ` or 4x + 2 √{4x2 - 9 2}  = 12 + 6 √3    So by comparing the constant part of LHS & RHS, 4x = 12 or x = 3

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