Algebra-2

To solve the absolute value equation , we consider two cases based on the sign of the expression inside the absolute value:

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 . Since does not satisfy the condition , this solution is extraneous for this case and should be discarded.

Case 2: When , i.e., →

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

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