Note:
Solve for x in the following equation.
Example 4:
Either
or
Step 1:
Solve
Step 2:
Solve
There are four real answers at 0.242810330952,
2.49034517802, and 0.146018458341. However all these answers may or may
not be solutions. You must verify that your answers are the solutions to the
original equation.
Step 4:Check the solutions:
Check by substituting 2.62082603268 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 0.242810330952
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 2.49034517802
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 0.146018458341
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.
The solutions are 2.62082603268 and 0.146018458341.
You can also check your answer 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 2.62082603268 and .0.146018458341 This verifies the two solutions.
If you would like to test yourself by working some problems similar to this example, click on Problems.
If you would like to go back to the equation table of contents, click on Contents.
Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.
Author: Nancy Marcus