Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.6: Exponential Equations, Logarithmic Equations, And Problem Solving
Problem 63PS
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Question
I don't understand how to do number 61
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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
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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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