Note:
Solve for x in the following equation.
Problem 3.4d:
The answers are -0.8616428528,-37.1383571472, 1.3757351161 and
-1.66144940181. These answers may or may not be solutions to the original
equation. You must verify each of the answers.
Since the left side of the original equation is not equal to the right side
of the original equation, the answer x=-0.8616428528 is not a solution to
the original equation.
Right Side:
The solutions are -37.1383571472 and 1.3757351161.
on your graphing calculator. The graph was formed by subtracting the right
side of the original equation from the left side of the original equation.
You will note that the two x-intercepts on the graph are located at
x=-37.1383571472 and 1.3757351161. This verifies the two solutions by a
graphical method.
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Answer:
Either or
Solve
Solve
Check the solutions:
Check the answer x=-0.8616428528 by substituting -0.8616428528 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 x=-37.1383571472 by substituting -37.1383571472 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 equal to the right side of
the original equation, the answer x=-37.1383571472 is a solution to the
original equation.
Check x=1.3757351161 by substituting 1.3757351161 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 equal to the right side of
the original equation, the answer x=1.3757351161 is a solution to the
original equation.
Check x=-1.66144940181 by substituting -1.66144940181 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, the answer x=-1.66144940181 is not a solution to
the original equation. You could also make the observation that the absolute
value of a number cannot be negative, therefore no negative answer is valid.
You can also check your answer by graphing the function
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