Note:
Solve for x in the following equation.
Example 6:
The answers are 3.20567553681, -0.688434161172, 1.75320261515 and
-2.33459796399. These answers may or may not be solutions to the original
equation. You must verify each of the answers.
Check the solutions:
Check the answer x=1.70156211872 by substituting 1.70156211872 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.
You can also check your answer by graphing
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Since the left side of the original equation is equal to the right side of
the original equation after 1.70156211872 was substituted for x, the
answer x=1.70156211872 is a solution to the original equation.
Check x= -0.688434161172 by substituting -0.688434161172 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 -0.688434161172 is substituted for x, the
answer x= -0.688434161172 is a not solution to the original equation.
Check x= 1.75320261515 by substituting 1.75320261515 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 after 1.75320261515 was substituted for x, the
answer x= 1.75320261515 is a solution to the original equation.
Check x=-2.33459796399 by substituting -2.33459796399 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 -2.33459796399 was substituted for x, the
answer x=-2.33459796399 is not a solution to the original equation. Since
we rounded the solution, the check will not be exact.
The solutions are x=3.20567553681 and 1.75320261515.
If you would like to test yourself by working some problems similar to this example, clicks problem.
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