name:__________ warm-up 4-5 simplify (5 + 7i) – (–3 + 2i).solve 7x 2 + 63 = 0
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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:
•completing the square
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https://www.youtube.com/watch?v=xGOQYTo9AKYhttps://www.youtube.com/watch?v=zKV5ZqYIAMQhttps://www.youtube.com/watch?v=Q0IPG_BEnTo
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.