Note:
Solve for x in the following equation.
Problem 3.5d:
Answer:
Solution:
Either or
Step 1:
Solve
Step 2:
Solve
There are four answers; 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 x=2.57603367 by substituting 2.57603367 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 x = - 4.07603367 by substituting -4.07603367 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 x=2.7413587 by substituting 2.7413587 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 x=-0.8663587 by substituting x=-0.8663587 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.
There are two solutions:
You can also verify these two 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 there are two x-intercepts at x=-4.07603367,x=-0.86635871. This verifies the solutions.
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Author:Nancy Marcus