In this discussion, you will solve quadratic equations by two main methods:
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 MAT222 Week 4 Discussion Example Download MAT222 Week 4 Discussion Exampleto 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 – 2x – 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 3×2 + x – 2 = 0
20 2×2 + 2x – 24 = 0 2×2 – 7x + 5 = 0
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.
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