Factoring out a GCF then solving using the square root method

The video tutorial explains how to solve quadratic equations using the square root method. It begins with an introduction to the problem-solving approach, followed by factoring and simplifying the equation by identifying the greatest common factor (GCF). The tutorial then demonstrates solving the equation using inverse operations and applying the square root method to find solutions. Finally, it covers rationalizing the denominator to obtain an exact solution.

What is the first step in solving a quadratic equation using the square root method?

• Factoring out the greatest common factor

• Multiplying both sides by a constant

• Graphing the equation

• Adding a constant to both sides

After factoring out the GCF, what should you do next in solving the equation?

• Subtract the GCF from both sides

• Set the equation equal to zero

• Add the GCF back to the equation

• Multiply both sides by the GCF

What operation is used to isolate the variable in the equation 3 = 2X^2?

• Subtraction

• Addition

• Division

• Multiplication

Why is it important to introduce both the positive and negative square roots when solving an equation?

• To ensure the solution is positive

• To account for both possible solutions

• To simplify the equation further

• To eliminate the variable

What is the purpose of rationalizing the denominator in the final solution?

• To make the solution easier to approximate

• To eliminate the square root

• To convert the solution into a decimal

• To obtain an exact answer