If the radical expression is isolated, the first step is to raise both sides of the radical equation to the second power.
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Practice makes perfect
We will find and check the solution of the given equation.
Finding the Solution
The radical expression is isolated, so we do not need to rearrange the radical equation. We can start by raising 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= 152. Now, let's check whether our solution is extraneous.
Checking the Solution
To check our solution, we will substitute 152 for x into the original equation. If we obtain a true statement, the solution is not extraneous. Otherwise, the solution is extraneous.
