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Exercise Set 2.6: Solving Quadratic Equations with Complex Roots Find all complex solutions of the following equations b...

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Exercise Set 2.6: Solving Quadratic Equations with Complex Roots Find all complex solutions of the following equations by first completing the square, and then using the quadratic formula. Express all answers in the form a + bi . 1. x 2 + 8x + 20 = 0 2. x 2 − 6x = −34 Find all complex solutions of the following equations. Express all answers in the form a + bi . 3. x 2 + 49 = 0 4. x 2 +16 = 0 5. 25x 2 + 9 = 0 6. 100x 2 + 81 = 0 7. x 2 − 6x +13 = 0 8. x 2 −10x = −41 9. x 2 + 6x + 29 = 0 10. x 2 − 8x + 28 = 0 11. 3x 2 + 5x = −4 12. 5x 2 − 3x +1 = 0 13. x +

3 =5 x

14. 2x −1+ 15.

1 6

5 =0 x

x 2 + 43 x +1 = 0