Download Name

Name _____________________________________ Date ________________________
LESSON 4.6
Practice B
For use with pages 275-282
Solve the equation
1. x2 = 36
2. x2 + 121 = 0
3. x2 + 9 = 4
4. x2 = 2 x2 + 4
5. 3 x2 + 40 = x2  56
6. 11x2 =  x2  1
7. (x  3)2 =  12
8. 2(x  1)2 = 36
9. 4(x  2)2 + 320 = 0
Write the expression as a complex number in standard form.
10. (1 + i) + (3 + i)
11. (4  3i) + (2 + 6i)
12. (4  i)  (4 + 5i)
13. (5  3i) + (3  6i)
14. 3i(4 + 2i)
15. 2i(3  i)
16. (2 + i)(4 + 2i)
17. (5  2i)(1  3i)
18.  (3 + i)(7  3i)
19. 2i(1 + i)(2 + 3i)
20. (2  i)2
21. (5 + 3i)(5  3i)
5
22.
3  2i

23. 2 i
3  4i

24. 1 2i
2 i
25. 3 (3  2i )
2  4i
Find the absolute value of the complex number.
26. 3 4i
27. 1  i 3
28. 5  2i 2
Plot the numbers in a complex plane.
29. 3i
30. 2 + 2i
31. 2  3i
Using the properties of exponents, write the complex number in standard form.
32. 2 + i2
33. 3 + i3
34. 5  i4
35. 2  i5
36. 1 + i4
37. 1 + i8
38. 1 + i12
39. 1 + i16
40. Pattern Recognition Using the information from Exercises 3639, write a general
statement about the value of in where n is a positive factor of 4. Use this statement
to write 2 + i207 in standard form.