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59. -8 + V-4 2 + iV3 61. 3+ i 3 + i

59. -8 + V-4 2 + iV3 61. 3+ i 3 + i

Algebra and Trigonometry (6th Edition)
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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I don't understand how to do number 61

132 of 898 yright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 118 Chapter 1 Equations and Inequalities Exercises 1.3 Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. 30. (7 – V-25) + (-8 + V-1) 31. (4 + 7i) + (8 – 2i) – (5 + 4i) 32. (5 – 7i) – (4 – 2i) + (8 + i) 33. (3 + V-16) – (4 – V–36) + (5 – V-144) Fill in the blanks. 34. (-1+ V-1) – (2 + V-81) + (8 – V=121) V-121) 1. V-3, V-9, and V-12 are examples of numbers. 35. – 5(3 + 5i) 36. 5(2 – i) 2. In the complex number a + bi, a is the and b is the part, part. 37. 7i(4 – 8i) 38. – 2i(3 – 7i) 3. If a = 0 and h + 0 in the complex number a + hi, the number is an number. 39. (2 + 3i)(3 + 5i) 4. If b = 0 in the complex number a + bi, the number is a 40. (5 – 7i)(2 + i) number. 41. (2 + 3i)² 5. The complex conjugate of 2 + 5i is 42. (3 – 4i)? 6. By definition, la + bi| = 7. The absolute value of a complex number is a 43. (11 + V-25)(2 – V-36) 44. (6 + V-49)(6 – V-49) 45. (V-16 + 3)(2 + V-9) 46. (12 – V-4)(-7+ V-25) number. 8. The product of two complex conjugates is a number. Practice 1 47. 3 48. i Simplify the imaginary numbers. 10. -V-225 10 50. 7i 9. V-144 49. 3i 11. -V-128 12. V-108 1 51. 2 + i -2 13. -2V -24 14. 7V-48 52. 3 - i 50 72 -3i 2i 53. 7 + i 15. 16. V 25 54. 2 + 5i 9. 3 5 2 + i 55. 3 - i 3 - i 56. 1 + i 17. –7 18. 5. 8. 27 4 - 5i 57. 2 + 3i 34 + 2i 58. 2 – 4i Find the values of x and y. 19. x + (x + y)i = 3 + 8i 5 - V-16 59. 3 - V-9 60. 20. x + 5i = y – yi 21. Зх — 2yi %3 2 + (х + у)i -8 + V-4 2 - V-1 [2 + (x + y)i = 2 – i 22. 2 + iV3 61. x + 3i = 2 + 3i 3 + i 3 + i Perform all operations. Give all answers in a + bi form. 62. 23. (2 — 7і) + (3 + і) 24. (-7 + 2i) + (2 – 8i) 4 – V2 | Simplify each expression. 63. P 64. 26 25. (5 – 6i) – (7 + 4i) 26. (11 + 2i) - (13 – 5i) 65. 138 66. º 67. 87 68. 4 27. (14i + 2) + (2 - V-16) 28. (5 + V-64) – (23i – 32) 29. (3 + V-4) – (2 + V-9) 69. ¡100 70. 201 71. i-6 -9- 72. P 73. г 10 74. г 31 Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Section 1.3 Complex Numbers 119
Transcribed Image Text:132 of 898 yright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 118 Chapter 1 Equations and Inequalities Exercises 1.3 Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. 30. (7 – V-25) + (-8 + V-1) 31. (4 + 7i) + (8 – 2i) – (5 + 4i) 32. (5 – 7i) – (4 – 2i) + (8 + i) 33. (3 + V-16) – (4 – V–36) + (5 – V-144) Fill in the blanks. 34. (-1+ V-1) – (2 + V-81) + (8 – V=121) V-121) 1. V-3, V-9, and V-12 are examples of numbers. 35. – 5(3 + 5i) 36. 5(2 – i) 2. In the complex number a + bi, a is the and b is the part, part. 37. 7i(4 – 8i) 38. – 2i(3 – 7i) 3. If a = 0 and h + 0 in the complex number a + hi, the number is an number. 39. (2 + 3i)(3 + 5i) 4. If b = 0 in the complex number a + bi, the number is a 40. (5 – 7i)(2 + i) number. 41. (2 + 3i)² 5. The complex conjugate of 2 + 5i is 42. (3 – 4i)? 6. By definition, la + bi| = 7. The absolute value of a complex number is a 43. (11 + V-25)(2 – V-36) 44. (6 + V-49)(6 – V-49) 45. (V-16 + 3)(2 + V-9) 46. (12 – V-4)(-7+ V-25) number. 8. The product of two complex conjugates is a number. Practice 1 47. 3 48. i Simplify the imaginary numbers. 10. -V-225 10 50. 7i 9. V-144 49. 3i 11. -V-128 12. V-108 1 51. 2 + i -2 13. -2V -24 14. 7V-48 52. 3 - i 50 72 -3i 2i 53. 7 + i 15. 16. V 25 54. 2 + 5i 9. 3 5 2 + i 55. 3 - i 3 - i 56. 1 + i 17. –7 18. 5. 8. 27 4 - 5i 57. 2 + 3i 34 + 2i 58. 2 – 4i Find the values of x and y. 19. x + (x + y)i = 3 + 8i 5 - V-16 59. 3 - V-9 60. 20. x + 5i = y – yi 21. Зх — 2yi %3 2 + (х + у)i -8 + V-4 2 - V-1 [2 + (x + y)i = 2 – i 22. 2 + iV3 61. x + 3i = 2 + 3i 3 + i 3 + i Perform all operations. Give all answers in a + bi form. 62. 23. (2 — 7і) + (3 + і) 24. (-7 + 2i) + (2 – 8i) 4 – V2 | Simplify each expression. 63. P 64. 26 25. (5 – 6i) – (7 + 4i) 26. (11 + 2i) - (13 – 5i) 65. 138 66. º 67. 87 68. 4 27. (14i + 2) + (2 - V-16) 28. (5 + V-64) – (23i – 32) 29. (3 + V-4) – (2 + V-9) 69. ¡100 70. 201 71. i-6 -9- 72. P 73. г 10 74. г 31 Copyright 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Section 1.3 Complex Numbers 119
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