Note:
Solve for x in the following equation.
Example 1:
Either or
Step 1:
Step 2:
The answers are -2 and . These answers may
or may not be the solutions.
Step 3: Check the answers:
Check the answer x = - 2 by substituting -2 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 equals the right side of the original equation after we substituted the value -2 for x, then x = -2 is a solution.
Check the answer 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.
Since the left side of the original equation equals the right side of the original equation after we substituted the value , then is a solution.
The solutions are x = - 2 and
You can also check your answer by graphing (the left side of the original equation minus the right side
of the original equation). You will note that the two x-intercepts on the
graph are located at -2 and
This verifies the solution graphically.
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Author:Nancy Marcus