Note:
Solve for x in the following equation.
Example 4:
Either or
Since the left side of the original equation after we substituted the value
2.44832565604 for, the solution x=2.44832565604 is valid
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Step 1:
Step 2:
The answers are 2.44832565604 and -1.53165898938.
Step 4:
Check the solution x = - 1.53165898938 by substituting -1.53165898938 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.
Since the left side of the original equation after we substituted the value
-1.53165898938 for, the solution x = -1.53165898938 is valid
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 x = 2.44832565604 and
x = -1.53165898938. This verifies our answers.
If you would like to test yourself by working some
problems similar to this example, click on Problem.
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