9.5 Quadratic formula Day 2 - Adam Clinch Classroom Website...9.5 Quadratic formula Day 2 Solve Quadratics by the Quadratic Formula Which Method of solving a Quadratic should I Use

9.5 Quadratic formula Day 2

2

Solve Quadratics by the Quadratic Formula

WARMUP Day 2

2. Solve using the quadratic formula

1. What is the quadratic formula? When can you use it?

31111

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https://www.desmos.com/calculator/ugy0s8ajo6



Programming the Quadratic Formula

Solve using the quadratic formula

.

To get to Disp ‑> PRGM then I/O

To get Prompt ‑> PRGM then I/Odiscriminant



1. Solve by taking the square root!

3. Solve by factoring!

2. Solve by completing the square!

4. Solve by the quadratic formula!



Which Method of solving a Quadratic should I Use

Factoring Use when a = 1 and a quadratic equation can be factored easily. Ex. 0 = x2 4x 5 0 = (x 5)(x + 1)

Square Roots Use when squared quantity has no single x terms Ex. 16x2 13 = 12

Complete the Square Use when a =1 and c is on the other side. Ex. x2 + 8x = 12

Quadratic Formula Can be use for any quadratic equation, as a last resort. Should be used any time a is not 1 and can not be easily divided out.


Solve Quadratics by the Quadratic FormulaWhich Method of solving a Quadratic should I Use

FactoringSquare Roots

Complete the Square Quadratic Formula



Match which method should be used for each equation.

A) Factoring

B) Square Roots

C) Complete the Square

D) Quadratic Formula

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HOMEWORK

Attachments

10.6 WS.pdf

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72Algebra 1Chapter 10 Resource Book

Use the quadratic formula to solve the equation. Round your solutions to the nearest hundredth, if necessary.

1. x2 1 7x 2 80 5 0 2. 3x2 2 x 2 16 5 0

3. 8x2 2 2x 2 30 5 0 4. x2 1 4x 1 1 5 0

5. 2x2 1 x 1 12 5 0 6. 23x2 2 4x 1 10 5 0

7. 5x2 1 30x 1 32 5 0 8. x2 1 6x 2 100 5 0

9. 4x2 2 x 2 20 5 0 10. 5x2 1 x 2 9 5 0

11. 6x2 1 7x 2 3 5 0 12. 10x2 2 7x 1 5 5 0

Tell which method(s) you would use to solve the quadratic equation. Explain your choice(s).

13. 6x2 2 216 5 0 14. 8x2 5 56 15. 5x2 2 10x 5 0

16. x2 1 8x 1 7 5 0 17. x2 2 6x 1 1 5 0 18. 29x2 1 10x 5 5

Solve the quadratic equation using any method. Round your solutions to the nearest hundredth, if necessary.

19. 210x2 5 250 20. x2 2 16x 5 264 21. x2 1 3x 2 8 5 0

22. x2 5 14x 2 49 23. x2 1 6x 5 14 24. 25x2 1 x 5 13

25. Pasta For the period 1990–2003, the amount of biscuits, pasta, and noodles y(in thousands of metric tons) imported into the United States can be modeled by the function y 5 1.36x2 1 27.8x 1 304 where x is the number of years since 1990.

a. Write and solve an equation that you can use to approximate the year in which 500 million pounds of biscuits, pasta, and noodles were imported.

b. Write and solve an equation that you can use to approximate the year in which 575 million pounds of biscuits, pasta, and noodles were imported.

26. Eggs For the period 1997–2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y 5 20.27x2 1 3.3x 1 77 where x is the number of years since 1997.

a. Write and solve an equation that you can use to approximate the year(s) in which 80 billion eggs were produced.

b. Graph the function on a graphing calculator. Use the trace feature to find the year when 80 billion eggs were produced. Use the graph to check your answer from part (a).

LESSON

10.6 Practice BFor use with pages 671–676LE

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ON

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SMART Notebook

Page 1: Apr 9-2:23 PMPage 2: Apr 9-2:23 PMPage 3: Apr 9-2:23 PMPage 4: Apr 9-2:23 PMPage 5: Apr 9-2:23 PMPage 6: Apr 9-2:23 PMPage 7: May 18-1:03 PMPage 8: Apr 9-2:23 PMPage 9: Apr 19-3:27 PMAttachments Page 1

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9.5 Quadratic formula Day 2 - Adam Clinch Classroom Website...9.5 Quadratic formula Day 2 Solve Quadratics by the Quadratic Formula Which Method of solving a Quadratic should I Use