Note:
Solve for x in the following equation.
Example 1:
Either
Solve
Solve
The answers are 7.694933, -0.194933, 3.5 and 1. 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=7.694933 by substituting 7.694933 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=-0.194933 by substituting -0.194933 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=3.5 by substituting 3.5 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=1 by substituting 1 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 is a solution to the original
equation.
The solutions are x=7.694933, -0.194933, 3.5, and 1.
You can also check your answer by graphing
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 four x-intercepts on the graph are located at x=7.694933, -0.194933, 3.5, and 1. This verifies the four solutions by a graphical method.
If you would like to test yourself by working some problems similar to this example, click on problem.
If you would like to go back to the equation table of contents, click on contents.
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Author: Nancy Marcus