Algebra 2 Companion Book, Volume 1

5.1.5 Complex Numbers and Roots - Worksheet

Example 1: Express each number in terms of i . 1. − 5 100 2. − 16

1 2

4. − 144

3. − − 32

Example 2: Solve each equation. 5. x 2 = − 9

6. 2 x 2 + 72 = 0

7. 4 x 2 = − 16

8. x 2 + 121 = 0

Example 3: Find the values of x and y that make each equation true. 9. − 2 x + 6 i = ( − 24 y ) i − 14

10. − 4 + ( y ) i = − 12 x − i + 8

Example 4: Find the zeros of each function. 11. f ( x ) = x 2 − 12 x + 45

12. g ( x ) = x 2 + 6 x + 34

Example 5: Find each complex conjugate. 13. − 9 i 14.

15. 8 i − 3

16. + i 6 2

+ i 5 5

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