Algebra-2

To find the extraneous solution of the equation , we need to consider two cases based on the definition of the absolute value and then check the obtained solutions.

Case 1: When , i.e.,

In this case, the absolute value . So our equation becomes:

However, we assumed at the beginning of this case that , and 2 < , so does not satisfy the condition for this case and is a candidate for an extraneous solution at this point.

Case 2: When

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