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Solving Radical Equations

Solving Radical Equations 1.3 - Solution

arrow_back Return to Solving Radical Equations

Solving a radical equation usually involves three main steps.

  1. Isolate the radical on one side of the equation.
  2. Raise each side of the equation to a power equal to the index of the radical to eliminate the radical.
  3. Solve the resulting equation.
  4. Check the results for extraneous solutions.
Now we can analyze the given radical equation. First, let's isolate the radical, on one side of the equation.
We obtained an isolated radical with index equal to Then, we will raise each side of the equation to the power of
Solve for
Next, we will check for extraneous solutions. We do that by substituting for into 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.
Simplify
Because our substitution produced a true statement, we know that our answer, is correct.