Question 1004808
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Solve:
{{{2/(x-1)}}} - {{{1/2}}} = {{{4/(x^2-1)}}}
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The solution in the post by @mananth is incorrect.


@mananth found two potential solutions,  x = 3 OR x=1, and presented them as a final solution.



                It is the  ERROR.



In reality, only ONE of these two potential solutions is a real solution: it is x = 3.


x=1 is not in the domain of the equation, and, therefore, should be rejected.


It is a standard check to reject extraneous solutions, but @mananth neglects to make this check.



The correct answer is  x = 3, the only one single unique solution.