1. Name:__________ warm-up 4-5 Simplify (5 + 7i) – (–3 + 2i).Solve 7x 2 + 63 = 0

2. What are the values of x and y when (4 + 2i) – (x + yi) = (2 + 5i)?

3. Details of the Day EQ: How do quadratic relations model real-world problems and their solutions? Depending on the situation, why is one method for solving a quadratic equation more beneficial than another? How do transformations help you to graph all functions? Why do we need another number set? I will be able to… Solve quadratic equations by using the Square Root Property. Solve quadratic equations by completing the square. Activities: Warm-up Review homework – Notes: Completing the Square 13 min video Mid-Chapter 4 Test Class work/ HW Vocabulary: completing the square.

4. { 4-5 Completing the Square Completing the Square Completing the SquareCompleting the Sq Completing the SquareCompleting the pe Completing the SquareCompleting the Square https://www.youtube.com/watch? v=xGOQYTo9AKY https://www.youtube.com/watch? v=zKV5ZqYIAMQ https://www.youtube.com/watch? v=Q0IPG_BEnTo

5. A Quick Review Simplify (5 + 7i) – (–3 + 2i).Solve 7x 2 + 63 = 0

6. A Quick Review What are the values of x and y when (4 + 2i) – (x + yi) = (2 + 5i)?

7. Notes and examples --Video x²- 6x + 8 = 0 2x² - 6x + 3 = 0

8. Notes and examples X² + 5X + 6

9. Notes and examples Solve x 2 + 14x + 49 = 64 by using the Square Root Property. Original equation Factor the perfect square trinomial. Square Root Property Subtract 7 from each side.

10. Notes and examples Solve x 2 – 16x + 64 = 25 by using the Square Root Property. Solve x 2 – 4x + 4 = 13 by using the Square Root Property.

11. Notes and examples Check the roots by graphing: Use the ZERO function of a graphing calculator. The approximate zeros of the related function are –1.61 and 5.61.

12. Notes and examples Find the value of c that makes x 2 + 12x + c a perfect square. Then write the trinomial as a perfect square. Find the value of c that makes x 2 + 6x + c a perfect square. Then write the trinomial as a perfect square.

13. Notes and examples Solve x 2 + 4x – 12 = 0 by completing the square. Solve 2x 2 + 11x + 15 = 0 by completing the square.

14. Notes and examples Solve x 2 + 4x + 5 = 0 by completing the square.