Note:
Solve for x in the following equation.
Example 3:
Step 1:
The absolute value is already isolated.
Step 2: Set the quantity within the absolute value notation to
Step 3: Solve for x in the equation :
Step 4: Solve for x in the equation :
The answers are and .
Step 5:Check the solutions.
Check the solution x = by substituting in the original equation for x. If the left side of the
equation equals the right side of the equation after the substitution, you
have found the correct answer.
Step 6:
Check the solution x = by substituting in the original equation for x. If the left side of the
equation equals the right side of the equation after the substitution, you
have found the correct answer.
You can also check your answer by
graphing (the
left side of the original equation minus the right side of the original
equation). You will note that the two x-intercepts on the graph are located
at and
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Author:Nancy Marcus