Answer:
D. There are no extraneous solutions to the equation.
Step-by-step explanation:
We have been given an equation
. We are asked to find extraneous solution to the radical equation.
First of all, we will square both sides of our given equation as:
Upon switching the sides, we will get:
Upon splitting the middle term:
Using zero product property, we will get:
Now, we will check both solutions to find any extraneous solution as:




True.




True.
Therefore, there is no extraneous solution to our given equation and option D is the correct choice.