Complex Numbers - Algebra - Lecture Notes, Study notes of Algebra

Complex Numbers, Expression, Standard Form, Equation, Complex Number System, Quadratic Equation, Real Coefficients, Other Solution, Evaluate, Algebra are the key points of this lecture.

Typology: Study notes

2011/2012

Uploaded on 12/31/2012

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Lesson
Complex Numbers
1) (4 - 9i) + (3 + 3i)
2) (2 - 7i) + (5 + 4i)
Write the expression in the standard form a + bi.
3) (7 + 7i) - (-6 + i)
4) (8 + 9i) - (-3 + i)
5) 4(8 - 5i)
6) 9(6 - 7i)
7) 8i(8 - 2i)
8) 5i(8 - 7i)
9) -3i(-7 + 3i)
10) -5i(-2 + 7i)
11) (-8 - 3i)(5 + i)
12) (-7 + 6i)(5 + i)
13) (4 + 4i)(3 + 5i)
14) (6 + 5i)(7 + 6i)
15) (6 + 6i)(2 - 3i)
16) (3 + 2i)(9 - 7i)
17) 2
6 + i
CollegeAlgebra
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Lesson

Complex Numbers

1) (4 - 9i) + (3 + 3i)

2) (2 - 7i) + (5 + 4i)

Write the expression in the standard form a + bi.

3) (7 + 7i) - (-6 + i)

4) (8 + 9i) - (-3 + i)

5) 4(8 - 5i)

6) 9(6 - 7i)

7) 8i(8 - 2i)

8) 5i(8 - 7i)

9) -3i(-7 + 3i)

10) -5i(-2 + 7i)

11) (-8 - 3i)(5 + i)

12) (-7 + 6i)(5 + i)

13) (4 + 4i)(3 + 5i)

14) (6 + 5i)(7 + 6i)

15) (6 + 6i)(2 - 3i)

16) (3 + 2i)(9 - 7i)

6 + i

6 + 7i

2i

1 + i

4 + 5i

5 - 4i

34 - 8i

5 + 6i

7 + 2i

4 - 9i

23) (6 + 2i)

24) i^16

25) 5i5(1 + i3)

26) i^18 + i^16 + i^14 + 1

Solve the equation in the complex number system.

27) x2 + 144 = 0

28) x2 - 6x + 45 = 0

29) x2 + x + 9 = 0

30) x3 - 343 = 0

31) x4 = 256

32) x4 - 2x2 - 3 = 0

Solve the problems:

33) 4 - i is a solution of a quadratic equation with real coefficients. Find the other solution.

Answer Key

Testname: 3_COMPLEX_NUMBERS

  1. 7 - 6i
  2. 7 - 3i
  3. 13 + 6i
  4. 11 + 8i
  5. 32 - 20i
  6. 54 - 63i
  7. 16+ 64i
  8. 35+ 40i
  9. 9 + 21i
  10. 35 + 10i
    • 37 - 23i
    • 41 + 23i
    • 8 + 32i
  11. 12 + 71i
  12. 30 - 6i
  13. 41 - 3i 17)^12 37

i

18)^3685 - 4285 i

  1. 1 + i
  2. i
  3. 2 - 4i 22)^10 97

i

  1. 32 + 24i

  2. 1

  3. 5 + 5i

  4. 0

  5. {-12i, 12i}

  6. {3 - 6i, 3 + 6i}

  7. {- 1 2

i, - 1 2

i}

i, - 7 2

i}

  1. {-4, 4, - 4i, 4i}
  2. {- 3, 3, i, - i}
  3. 4 + i
  4. 4 - i