How to solve a quadratic using the difference of two squares

The video tutorial explains how to solve quadratic equations using the difference of two squares method. It begins by introducing the concept and formula, A^2 - B^2 = (A + B)(A - B), and emphasizes the importance of recognizing perfect squares. The instructor demonstrates the application of this method to factor and solve a quadratic equation, comparing it to the square root method. The tutorial concludes with solving the equation using inverse operations to find the solutions.

What is the formula for the difference of two squares?

• A^2 + B^2 = (A - B)(A + B)

• A^2 - B^2 = (A + B)(A - B)

• A^2 + B^2 = (A + B)(A - B)

• A^2 - B^2 = (A - B)(A - B)

In the expression 1/4 X^2 - 81, what are the perfect squares?

• 1/4 and 9

• 1/2 and 9

• 1 and 81

• 1/4 and 81

How is the expression 1/4 X^2 - 81 factored using the difference of two squares?

• (1/2 X + 9)(1/2 X - 9)

• (1/4 X + 81)(1/4 X - 81)

• (1/2 X + 81)(1/2 X - 81)

• (X + 9)(X - 9)

What property is used to solve the equation after factoring?

• Zero Product Property

• Distributive Property

• Associative Property

• Commutative Property

What are the solutions for X in the equation (1/2 X - 9)(1/2 X + 9) = 0?

• X = 9 and X = -9

• X = 18 and X = -18

• X = 81 and X = -81

• X = 1/2 and X = -1/2