Completing the Square Techniques

This video tutorial is part two of a series on completing the square. It begins with a recap of part one and introduces the concept of using completing the square to solve quadratic equations. The instructor provides a detailed example, demonstrating each step of the process. Students are then given a practice problem to solve independently. The video concludes with a brief preview of part three, which will cover plotting quadratics using the completing the square method.

What is the main focus of this video tutorial?

• Solving linear equations

• Graphing linear functions

• Using the quadratic formula

• Completing the square to solve quadratics

What should you do if you forget the process of completing the square?

• Use the quadratic formula instead

• Skip the problem

• Ask a friend for help

• Watch the previous video

What is the first step in completing the square for the equation x^2 + 14x?

• Find half of 14

• Divide by 2

• Add 49

• Subtract 14

After completing the square, what is the next step to solve the equation?

• Add 19 to both sides

• Multiply both sides by 2

• Subtract 7 from both sides

• Divide by 7

What operation is performed after rearranging the equation to x + 7 squared equals 19?

• Subtract 19 from both sides

• Add 7 to both sides

• Take the square root of both sides

• Square both sides

What are the solutions to the equation after completing the square and solving?

• x = -7 ± 19

• x = 7 ± √19

• x = -7 ± √19

• x = 7 ± 19

What should you do first when given a quadratic equation with a leading coefficient other than 1?

• Multiply the equation by the coefficient

• Add the coefficient to both sides

• Factor out the coefficient

• Ignore the coefficient

What is the purpose of the practice problem given in the video?

• To practice using the quadratic formula

• To practice factoring

• To practice completing the square

• To practice graphing

What will be covered in part three of the series?

• Graphing linear functions

• Plotting quadratics using completing the square

• Using the quadratic formula

• Solving linear equations

What additional information does completing the square provide compared to factorizing?

• It provides the vertex form of the quadratic

• It eliminates the need for graphing

• It gives the roots directly

• It simplifies the equation