Note:
Solve for x in the following equation.
Problem 3.5a:
Answer:
Either
or
Step 1:
Solve
Step 2:
Solve
There are four answers: 0.115562689514, and 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 2.88443731049 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 0.115562689514
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.
The solutions are and 0.1155626895142.
You can also check your 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 and 0.1155626895142 This
verifies the two real solutions.
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If you would like to go back to the equation table of contents, click on Contents.
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Author:Nancy Marcus