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:





Now we need to check if this solution is valid for the original equation. We substitute the values of back into the original equation.

Left side:
Right side:

Since the left side equals the right side, is a valid solution.

Case 2: When

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