SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Note:
Solve for x in the following equation.
Problem 3.3a:
Answer: and
Solutions:
Either or
Step 1:
Step 2:
Since the left side of the original equation equals the right side of the
original equation when -7.666667 is substituted for, then x = -7.666667 is
a valid solution.
Since the left side of the original equation equals the right side of the
original equation when 1.8 is substituted for, then x=1.8 is a valid
solution.
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contents.
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The answers are and.
Step 3:
Check the solution x = 1.8 by substituting 1.8 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
If you would like to review the answer and solution to problem 3.3b, click
on solution.
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