We will find and check the solution of the given equation.
Finding the Solution
To solve equations with a variable expression inside a radical, we first want to make sure the radical is isolated. Then we can raise both sides of the equation to a power equal to the index of the radical. Let's try to solve our equation using this method!
The solution of our equation is k= 11. Now, let's check whether our solution is extraneous.
Checking the Solution
To check our solution, we will substitute 11 for k into the original equation. If we obtain a true statement, the solution is not extraneous. Otherwise, the solution is extraneous.
