Completing the Square Techniques

This video tutorial explains how to solve a quadratic equation by completing the square. It assumes prior knowledge of the method and outlines the steps involved, including moving the constant term, creating a perfect square trinomial, and using square roots to find solutions. The tutorial provides a detailed walkthrough of the process, emphasizing the importance of maintaining equality and factoring. It concludes with finding two real rational solutions and hints at future examples.

What is the method being used to solve the quadratic equation in this video?

• Factoring

• Completing the Square

• Graphing

• Quadratic Formula

What is the first step in completing the square?

• Take the square root of both sides

• Factor the equation

• Move the constant term to the right side

• Add a constant to both sides

To make the left side a perfect square trinomial, what constant should be added?

• B divided by 2

• B squared

• B divided by 2 squared

• B times 2

What is the value of B in the equation discussed in the video?

• 4

• -2

• 2

• -4

After adding the constant, what is the next step in solving the equation?

• Factor the trinomial

• Multiply both sides by 2

• Subtract the constant

• Combine like terms

What is the equation set up for solving after factoring?

• X squared - 4 = 36

• X + 2 squared = 36

• X - 2 squared = 36

• X squared = 36

What mathematical operation is used to solve for X after factoring?

• Square root

• Addition

• Subtraction

• Multiplication

What are the two possible solutions for X after solving the equation?

• 8 and -4

• 6 and -6

• 4 and -4

• 2 and -2

What does the presence of two real rational solutions indicate about the original quadratic equation?

• It has complex solutions

• It has no real solutions

• It could have been solved by factoring

• It could have been solved by graphing

What will be covered in the next few videos according to the transcript?

• More examples of completing the square

• Introduction to the quadratic formula

• Graphing quadratic equations

• More examples of factoring