This document provides instruction on solving quadratic equations. It begins with an introduction explaining why quadratic equations are useful and includes a video example. It then defines quadratic equations and provides examples of solving quadratic equations by factoring and using the quadratic formula. The document uses examples and "Try It" problems for students to practice each step in solving quadratic equations.
This powerpoint presentation discusses or talks about the topic or lesson Functions. It also discusses and explains the rules, steps and examples of Quadratic Functions.
Quadratic equations are explained in simple steps to meet your level of understanding. Please provide feedback so we improve our program for your learning benefit.
This powerpoint presentation discusses or talks about the topic or lesson Functions. It also discusses and explains the rules, steps and examples of Quadratic Functions.
Quadratic equations are explained in simple steps to meet your level of understanding. Please provide feedback so we improve our program for your learning benefit.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
2. Why do we need to solve
Quadratic Equations?
• View this Discovery Education video to see a
use for Quadratic Equations AND why math is
cool!
3. Why do we need to solve
Quadratic Equations?
• View this Discovery Education video to see a
use for Quadratic Equations AND why math is
cool!
• Now, wasn’t that cool? I bet you never look at
a pumpkin the same way again!
4. Why do we need to solve
Quadratic Equations?
• View this Discovery Education video to see a
use for Quadratic Equations AND why math is
cool!
• Now, wasn’t that cool? I bet you never look at
a pumpkin the same way again!
• Let’s look at solving Quadratic Equations a
little closer.
5. What is a Quadratic Equation?
• View this Cool Math lesson introducing
Quadratic Equations.
• There are 2 pages of notes.
• Complete the Try It problems in your notebook
and check your answers on the next slide.
7. Page 2 - Try It
2
• Find a, b, and c. −3x − x − 5 = 0
8. Page 2 - Try It
2
• Find a, b, and c. −3x − x − 5 = 0
a. -3
b. -1
c. -5
9. Page 2 - Try It
2
• Find a, b, and c. −3x − x − 5 = 0
a. -3
b. -1
c. -5
2
• Find a, b, and c. x −6=0
10. Page 2 - Try It
2
• Find a, b, and c. −3x − x − 5 = 0
a. -3
b. -1
c. -5
2
• Find a, b, and c. x −6=0
a. 1
b. 0 (The x term is missing so b is 0.)
c. -6
11. Solving Quadratic Equations by
Factoring
• View this Cool Math website to learn about
solving Quadratic Equations.
• There are 9 pages to view.
• Complete the Try It problems in your notebook
and check your answers on the next slides.
13. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
14. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
15. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0.
16. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0. x+6=0 or x+2=0
17. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0. x+6=0 or x+2=0
Solve each
equation.
18. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0. x+6=0 or x+2=0
Solve each −6 −6 −2 −2
equation.
19. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0. x+6=0 or x+2=0
Solve each −6 −6 −2 −2
equation. x = −6 or x = −2
20. Page 4 - Try It
• Solve. 2
x + 8x + 12 = 0
Factor the trinomial.
( x + 6 )( x + 2 ) = 0
Split the factors
and set equal to 0. x+6=0 or x+2=0
Solve each −6 −6 −2 −2
equation. x = −6 or x = −2
Answer: {−6, −2}
21. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
22. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
23. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
24. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
25. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
x=3 or x=3
26. Page 5 - Try It & Your Turn
• Solve:
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
x=3 or x=3
Answer: {3}
27. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
x=3 or x=3
Answer: {3}
28. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
x=3 or x=3
Answer: {3}
29. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
2x − 7 = 0 or 4x + 1 = 0
x−3= 0 or x − 3 = 0
+3 +3 +3 +3
x=3 or x=3
Answer: {3}
30. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
2x − 7 = 0 or 4x + 1 = 0
x−3= 0 or x − 3 = 0 +7 +7 −1 −1
+3 +3 +3 +3
x=3 or x=3
Answer: {3}
31. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
2x − 7 = 0 or 4x + 1 = 0
x−3= 0 or x − 3 = 0 +7 +7 −1 −1
+3 +3 +3 +3 2x = 7 or 4x = −1
x=3 or x=3
Answer: {3}
32. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
2x − 7 = 0 or 4x + 1 = 0
x−3= 0 or x − 3 = 0 +7 +7 −1 −1
+3 +3 +3 +3 2x = 7 or 4x = −1
x=3 or x=3 7 1
x= or x=−
2 4
Answer: {3}
33. Page 5 - Try It & Your Turn
• Solve: 2
8x − 26x − 7 = 0
2
x − 6x + 9 = 0
( 2x − 7 ) ( 4x + 1) = 0
( x − 3) ( x − 3) = 0
2x − 7 = 0 or 4x + 1 = 0
x−3= 0 or x − 3 = 0 +7 +7 −1 −1
+3 +3 +3 +3 2x = 7 or 4x = −1
x=3 or x=3 7 1
x= or x=−
2 4
Answer: {3} 7 1
Answer: , −
2 4
57. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
58. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
59. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
+1 +1 −3 −3
60. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
+1 +1 −3 −3
2y = 1 or y = −3
61. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
+1 +1 −3 −3
2y = 1 or y = −3
2 2
62. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
+1 +1 −3 −3
2y = 1 or y = −3
2 2
y= 1
2
63. Page 9 - Your Turn
3 2
• Solve. 2y + 5y − 3y = 0
( 2
y 2y + 5y − 3 = 0 )
y ( 2y − 1) ( y + 3) = 0
y=0 or 2y − 1 = 0 or y+3= 0
+1 +1 −3 −3
2y = 1 or y = −3
2 2
1 y= 1
2
Answer: 0, , −3
2
64. Algebra Cruncher
• Practice solving more Quadratic Equations at this Cool
Math website.
• Select the “Give me a Problem” button to try new
problems.
• Do your work in a notebook before entering your answer.
• When you select “What’s the Answer?” your answer is
erased and correct answer is displayed. Having your
work in a notebook will allow you to compare your
answer to the correct answer.
• Keep working problems until you get 3 in a row correct.
65. Fantastic Job!
• You’ve finished reviewing Solving Quadratic
Equations Part 1.
• Exit and proceed to Part 2.
