Solving a Radical Equation Using Factoring and Checking Your Answers

The video tutorial covers solving equations involving square roots by isolating the square root term and squaring both sides. It explains the use of the FOIL method to expand expressions and form quadratic equations. The tutorial then demonstrates solving these quadratics by factoring and emphasizes the importance of checking solutions to identify extraneous ones.

What is the first step in solving an equation involving a square root?

• Add a constant to both sides

• Divide both sides by a constant

• Isolate the square root

• Multiply both sides by a constant

When expanding (X + 5)^2, which method is used?

• Completing the Square

• FOIL Method

• Distributive Property

• Quadratic Formula

To solve a quadratic equation by factoring, what must the equation be set equal to?

• The square root of a number

• Zero

• A constant

• 1

Which pair of numbers multiplies to 18 and adds to 9?

• 3 and 6

• 1 and 18

• 2 and 9

• 4 and 5

What is an extraneous solution?

• A solution that does not satisfy the original equation

• A solution that satisfies the original equation

• A solution that is greater than zero

• A solution that is less than zero