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

Name:__________ warm-up 4-5

Simplify (5 + 7i) – (–3 + 2i). Solve 7x2 + 63 = 0

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

Details of the DayEQ: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-upReview homework –Notes: Completing the Square 13 min videoMid-Chapter 4 TestClass work/ HW

Vocabulary:

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https://www.youtube.com/watch?v=xGOQYTo9AKYhttps://www.youtube.com/watch?v=zKV5ZqYIAMQhttps://www.youtube.com/watch?v=Q0IPG_BEnTo

A Quick Review

Simplify (5 + 7i) – (–3 + 2i). Solve 7x2 + 63 = 0

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

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

Notes and examplesX² + 5X + 6

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.

Notes and examplesSolve x

2 – 16x + 64 = 25 by using the Square Root Property.

Solve x

2 – 4x + 4 = 13 by using the Square Root Property.

Notes and examplesCheck 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.

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 x2 + 6x + c a perfect square. Then write the trinomial as a perfect square.

Notes and examplesSolve x2 + 4x – 12 = 0 by completing the square.

Solve 2x2 + 11x + 15 = 0 by completing the square.

Notes and examplesSolve x

2 + 4x + 5 = 0 by completing the square.