Algebra-2

To find the extraneous solution of the equation , we'll 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 does not satisfy this condition. So this solution is extraneous for this case.

Case 2: When , i.e.,

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

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