Algebra 2 Companion Book, Volume 1

5.1 Review Worksheet, Part 2 (continued)

5.1.5 Complex Numbers and Roots Express each number in terms of i . 19. − 8 4 20. − − 90

1 3

21.

22. − 50

− 6 12

Solve each equation. 23. x 2 + 49 = 0

1 2

24. 5 x 2 = − 80

25. 3 x 2 + 27 = 0

26.

=− x 2

32

Find the values of x and y that make each equation true. 27. 9 x + ( y ) i − 5 = − 12 i + 4

28. 5( x − 1) + (3 y ) i = − 15 i − 20

Find the zeros of each function. 29. f ( x ) = x 2 + 2 x + 3

30. g ( x ) = 4 x 2 − 3 x + 1

31. f ( x ) = x 2 + 4 x + 8

32. g ( x ) = 3 x 2 − 6 x + 10

Find each complex conjugate. 33. i

i 10

34. − − i 3 2 2

35. − 2.5 i + 1

36.

1

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