Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
answer #48. not graded.
![Example 1
Solve each equation by using the Square Root Property. Round to the nearest hundredth
if necessary.
14. x2 + 4x + 4 = 10
15. x2 – 6x + 9 = 20
16. x? + 8x + 16 = 18
17. x? + 10x + 25 = 7
18. x? + 12x + 36 = 5
19. x? – 2r +1= 4
22. x2 + 32x + 256 = 1
25. x? – 9x + =
20. x2 – 5x + 6.25 = 4
21. x2 –15x + 56.25 = 8
23. x? – 3x + = 6
24. x² + 7x + = 4
Examples 2-4 Solve each equation by completing the square.
26. x2 – 4x + 12 = 0
27. x2 + 2x – 12 = 0
30. 2x2 + x – 3 = 0
28. x? + 6x + 8 = 0
31. 2x? – 3x + 5 = 0
34. x2 – 2x + 3 = 0
29. x? – 4x + 3 = 0
33 3х2 — бх — 9 %3D0
36. x2 – 6x + 18 = 0
32. 2r? + 5x + 7 = 0
35. x? + 4x + 11 = 0
38. 3x² – 4x = 2
37. x2 – 10x + 29 = 0
39. 2x? – 7x = -12
40. x2 – 2.4x = 2.2
42. x? --=0
43. x² – - = 0
41. x² – 5.3x = -8.6
Example 5
Write each function in vertex form. Identify the vertex.
44. y = x + 10x + 17
46. y = 2r² – 4x + 5
45. y = x – 22x + 125
47. y = -8x – 64x – 146](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba04d8ca-1c72-4fa7-841f-7e6bd69c0a9f%2F083255e3-602c-4e16-8cdd-9f0682163111%2Fqugy5u_processed.png&w=3840&q=75)
Transcribed Image Text:Example 1
Solve each equation by using the Square Root Property. Round to the nearest hundredth
if necessary.
14. x2 + 4x + 4 = 10
15. x2 – 6x + 9 = 20
16. x? + 8x + 16 = 18
17. x? + 10x + 25 = 7
18. x? + 12x + 36 = 5
19. x? – 2r +1= 4
22. x2 + 32x + 256 = 1
25. x? – 9x + =
20. x2 – 5x + 6.25 = 4
21. x2 –15x + 56.25 = 8
23. x? – 3x + = 6
24. x² + 7x + = 4
Examples 2-4 Solve each equation by completing the square.
26. x2 – 4x + 12 = 0
27. x2 + 2x – 12 = 0
30. 2x2 + x – 3 = 0
28. x? + 6x + 8 = 0
31. 2x? – 3x + 5 = 0
34. x2 – 2x + 3 = 0
29. x? – 4x + 3 = 0
33 3х2 — бх — 9 %3D0
36. x2 – 6x + 18 = 0
32. 2r? + 5x + 7 = 0
35. x? + 4x + 11 = 0
38. 3x² – 4x = 2
37. x2 – 10x + 29 = 0
39. 2x? – 7x = -12
40. x2 – 2.4x = 2.2
42. x? --=0
43. x² – - = 0
41. x² – 5.3x = -8.6
Example 5
Write each function in vertex form. Identify the vertex.
44. y = x + 10x + 17
46. y = 2r² – 4x + 5
45. y = x – 22x + 125
47. y = -8x – 64x – 146
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