Answer:
Therefore x = 1 is an extraneous solution.
Explanation:
The solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction

therefore

therefore

therefore x = 1 and x = -4 but we can see that if we place x = 1 in the original solution then
which is indeterminate.
Therefore x = 1 is an extraneous solution.