Chapter 8.6, Problem 7LC

Solution

To identify: The two methods you can use to check whether a solution is extraneous.

There is two methods one method is direct substitution and the second method is graphical method.

Explanation:

Methods to check extraneous solution .

One method is direct substitution.

In this method solution is substituted in the original equation.

If any undefined forms like $\frac{1}{0}$ occur then that solution is extraneous.

And the second method is graphical method.

If there are any vertical asymptotes or holes in the graph at the result you obtained, then that result is also extraneous.