Note:
Solve for x in the following equation.
Example 2:
Either
or
Step 1:
Solve
Step 2:
Solve
There are two real answers at and 0.219223593596,
and two imaginary answers at and
Check the solution by substituting
2.2807764064 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.
Check the solution by substituting 0.219223593596
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.
Check the solution 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.
Check the solution 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.
Since the left side of the original equation is not equal to the right side of the original
equation after we substitute the value for x, then is not a solution.
The solutions are 1.73205080757 and -3.
You can also check the real answers by graphing
The graph is formed by subtracting the right side of the original equation from the left side of the original equation. Note that the graph has two x-intercepts located at 1.73205080757 and 1-3. This means that the two real solutions are 1.73205080757 and -3.
If you would like to test yourself by working some problems similar to this example, click on Problem.
If you would like to go back to the equation table of contents, click on Contents.
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Author: Nancy Marcus