## Presentation on theme: "Solving Radical Equations"— Presentation transcript:

Goals / “I can…” Solve equations containing radicals Identify extraneous solutions

Inverse Operations How would you solve the following equation? Solve by taking the SQUARE ROOT. Why? Square roots and Squaring are inverse operations… they “undo” eachother!

Inverse Operations So… consider this: How could you solve for x now? Solve by doing the inverse operation: SQUARING!

A Refresher on Inverses (opposites):
11.3 – Solving Radical Equations A Refresher on Inverses (opposites): Opposite of Multiply is ____________ Opposite of Add is ____________ Opposite of Divide is ____________ Opposite of Subtract is ____________ Opposite of squaring is ____________ Opposite of square rooting is ____________

Try

Steps to Solving Radical Eq.’s Isolate the radicand – get all radicands on one side and all constants on the other. Square both sides of the equation Solve for x CHECK YOUR ANSWER!!!!

If there are square roots on both sides, square both sides to get rid of them.

#1 Solve Standard Form

Check

#2 Solution Standard Form

Check

An extraneous solution is a solution that does not make the original problem true.

Example:

Sometimes an equation has no solution. You can only know this by putting the solution into the original equation.