MAT 222 Week 4 DQ 1

Ashford 5: – Week 4 – Discussion 1

Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses.

Solving Quadratic Equations

Solving Quadratic Equations

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

If your assigned number is

Use FACTORING to solve:

Use the QUADRATIC FORMULA to solve:

1

x2 + 9x + 20 = 0

2 on p. 646

2

x2 + 11x + 30 = 0

4 on p. 646

3

6×2 + 7x – 20 = 0

6 on p. 646

4

x2 + 3x + 2 = 0

8 on p. 646

5

x2 + 7x + 12 = 0

10 on p. 646

6

x2 – 9x + 14 = 0

12 on p. 646

7

x2 + 6x – 27 = 0

14 on p. 636

8

x2 – 2y – 24 = 0

16 on p. 636

9

x2 + 3x – 18 = 0

18 on p. 636

10

2×2 + x – 1 = 0

20 on p. 636

11

2×2 – x – 3 = 0

22 on p. 637

12

x2 – x = 0

24 on p. 637

13

x2 + x – 42 = 0

44 on p. 637

14

x2 + x – 20 = 0

46 on p. 636

15

x2 + 5x = 0

48 on p. 637

16

2×2 + 5x – 3 = 0

50 on p. 637

17

3×2 – 10x + 7 = 0

52 on p. 637

18

x3 – 9x = 0

54 on p. 647

19

25x – x3 = 0

56 on p. 647

20

2×2 + 2x – 24 = 0

58 on p. 647

21

x2 – x – 6 = 0

2 on p. 658

22

x2 + 6x + 8 = 0

4 on p. 658

23

x2 + 2x – 15 = 0

6 on p. 658

24

x2 – 2x – 15 = 0

8 on p. 658

25

2×2 – x – 3 = 0

10 on p. 658

26

6×2 – x – 15 = 0

2 on p. 680

27

x2 + 14x + 49 = 0

4 on p. 680

28

x2 – 6x + 9 = 0

6 on p. 680

29

x2 – 16 = 0

8 on p. 680

30

4×2 – 25 = 0

10 on p. 680

31

x2 + 10x + 21 = 0

12 on p. 680

32

x2 – 6x – 7 = 0

14 on p. 680

33

x2 + x – 2 = 0

16 on p. 680

34

x2 – 4x – 12 = 0

18 on p. 680

35

x2 –10x + 25 = 0

20 on p. 680

36

x2 + 6x + 5 = 0

22 on p. 680

37

3×2 – x – 24 = 0

24 on p. 680

38

3×2 – 6x – 24 = 0

26 on p. 680

39

x2 + 9x + 18 = 0

28 on p. 680

40

2×2 – x – 15 = 0

30 on p. 680

41

x2 – 7x + 12 = 0

2×2 – 3x + 1 = 0

42

25×2 – 20x + 4 = 0

16×2 + 1 = 8x

43

x2 + 5x + 6 = 0

3×2 – 10x + 8 = 0

44

x2 – 6x + 5 = 0

3×2 + x – 2 = 0

45

x(x – 5) = 0

2×2 – 7x + 5 = 0

For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.

For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.

Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.

Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.

Quadratic formula

Factoring

Completing the square

Discriminant

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion.

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