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. In this case, we will raise both sides of the equation to the second power. Let's do it!
The solution of our equation is x= 43. Now, let's check whether our solution is extraneous.
Checking the Solution
To check our solution, we will substitute 43 for x into the original equation. If we obtain a true statement, the solution is not extraneous. Otherwise, the solution is extraneous.
