Given:
The equation is:

To find:
Whether
and
both are solutions or one/both of them extraneous solutions.
Solution:
We have,

Subtract 5 from both sides.

Taking square on both sides, we get




Splitting the middle term, we get




Now, substitute
in the given equation.




This statement is false because
. So, 2 is an extraneous solution.
Substitute
in the given equation.




This statement is true. So, 9 is a solution of given equation.
Therefore, 2 is an extraneous solution and 9 is a solution of given equation.