Solving a usually involves three main steps.
- Isolate the radical on one side of the equation.
- Raise each side of the equation to a power equal to the index of the radical to eliminate the radical.
- Solve the resulting equation.
- Check the results for .
Now we can analyze the given radical equation.
First, let's isolate the radical,
on one side of the equation.
We got an isolated radical with index equal to
Then, we will raise each side of the equation to the power of
Next, we will check for extraneous solutions. We do that by substituting
in the original equation. If the substitution produces a true statement, we know that our answer is correct. If it does not, then it is an extraneous solution.
Because our substitution produced a true statement, we know that our answer,