Option C:  and
 and  are the solutions.
 are the solutions.
Explanation:
The equation is 
We shall determine the value of x, by simplifying the equation.

Thus,  and
 and  are the solutions.
 are the solutions.
Now, let us check whether the solutions are extraneous solutions.
Let us substitute  in the original equation to check whether both sides of the equation are equal.
 in the original equation to check whether both sides of the equation are equal.

Thus, both sides of the equation are equal.
Hence  is a true solution.
 is a true solution.
Now, Let us substitute  in the original equation to check whether both sides of the equation are equal.
 in the original equation to check whether both sides of the equation are equal.

Thus, both sides of the equation are equal.
Hence,  is a true solution.
  is a true solution.
Thus, solutions are not extraneous.
Hence, Option C is the correct answer.