The document outlines tasks and practice equations related to identifying and solving quadratic equations. It includes examples of quadratic equations, non-quadratic equations, and their corresponding roots, as well as practice tasks for students. The document concludes by confirming the completion of modules related to the topic.

1. Prepared by: Ms. Babylyn Clacio Datio

2. Objectives:
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7. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. 𝟒𝒙(𝒙 + 𝟖) = 𝟏𝟓
2. 𝒙𝟑 + 𝟓𝒙 – 𝟐𝟔 = 𝟎
3. 𝟑(𝒎 – 𝟏𝟒) = 𝟎
4. 𝟐𝒕(𝒕 – 𝟕) = − 𝟑𝒕
5. (𝒙 – 𝟕)( 𝒙 + 𝟕) = 𝟎

8. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. 𝟒𝒙(𝒙 + 𝟖) = 𝟏𝟓 Quadratic Equation
2. 𝒙𝟑
+ 𝟓𝒙 – 𝟐𝟔 = 𝟎 Not Quadratic Equation
3. 𝟑(𝒎 – 𝟏𝟒) = 𝟎 Not Quadratic Equation
4. 𝟐𝒕(𝒕 – 𝟕) = − 𝟑𝒕 Quadratic Equation
5. (𝒙 – 𝟕)( 𝒙 + 𝟕) = 𝟎 Quadratic Equation

10. Practice Tasks: (5 minutes)
Quadratic Equation a𝒙𝟐
+ b𝒙 + c = 0 a b c
Example:
3 + 4𝒔𝟐
= 15𝒔
4𝒔𝟐
-15𝒔 + 3 = 0
or -4𝒔𝟐
+ 15𝒔 - 3 = 0
4
-4
-15
15
3
-3
1. 6𝒔 – 2𝒔𝟐
= 0
2. 𝟑𝒙(𝒙 + 𝟓) – 𝟏𝟐 = 𝟎

11. Practice Tasks: (5 minutes)
Quadratic Equation a𝒙𝟐
+ b𝒙 + c = 0 a b c
Example:
3 + 4𝒔𝟐
= 15𝒔
4𝒔𝟐
-15𝒔 + 3 = 0
or -4𝒔𝟐
+ 15𝒔 - 3 = 0
4
-4
-15
15
3
-3
1. 6𝒔 – 2𝒔𝟐
= 0 – 2𝒔𝟐
+ 6𝒔 = 0
or 2𝒔𝟐
- 6𝒔 = 0
-2
2
6
-6
0
0
2. 𝟑𝒙(𝒙 + 𝟓) – 𝟏𝟐 = 𝟎 3𝒙𝟐
+ 15x - 12 = 0
or -3𝒙𝟐
- 15x + 12 = 0
3
-3
15
-15
-12
12

12. Congratulations!
You have completed Module 1.
You are now ready for Module 2.

16. ONE

21. Practice Tasks:
Equation Number of Solutions/Roots
1.𝒙𝟐 – 𝟐𝟓 = 𝟎
2.𝒕𝟐
= 𝟎
3.𝒔𝟐 + 𝟏𝟔 = 𝟎

22. Practice Tasks:
Equation Number of Solutions/Roots
1.𝒙𝟐 – 𝟐𝟓 = 𝟎 Two Solutions
2.𝒕𝟐
= 𝟎 One Solution
3.𝒔𝟐 + 𝟏𝟔 = 𝟎 No Real Roots or Solutions

29. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.𝟓(𝒙 − 𝟐)𝟐 = 𝟐𝟎
2.𝟑𝒙𝟐
= 𝟐𝟕
3.𝒔𝟐 − 𝟏𝟐 = 𝟎

30. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.𝟓(𝒙 − 𝟐)𝟐 = 𝟐𝟎 𝑥 = 4 𝑜𝑟 𝑥 = 0
2.𝟑𝒙𝟐
= 𝟐𝟕 𝑥 = 3 𝑜𝑟 𝑥 = −3
3.𝒔𝟐 − 𝟏𝟐 = 𝟎 𝑠 = 2 3 𝑜𝑟 𝑠 = −2 3

31. Congratulations!
You have completed Module 2.
You are now ready for Module 3.