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Which method is the best to solve a quadratic equation?

Which method is the best to solve a quadratic equation?. Factoring? Graphing? Quadratic Formula?. In this lesson you will learn how to determine the best method to solve a quadratic equation by comparing different strategies. What methods have you learned?. Graphing. Inspection.

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Which method is the best to solve a quadratic equation?

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  1. Which method is the best to solve a quadratic equation? Factoring? Graphing? Quadratic Formula?

  2. In this lesson you will learn how to determine the best method to solve a quadratic equation by comparing different strategies.

  3. What methods have you learned? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula

  4. Thinking the approach you take will impact your solutions

  5. There are pros and cons to any approach Graphing Irrational solutions hard to determine Inspection Taking a Square Root Only applies when there is no x term Factoring Not everything factors “nicely” Completing the Square Quadratic Formula

  6. Which method would you use to solve this quadratic equation? x2+3x=10 x2+3x-10=0 (x-2)(x+5)=0 Graphing x=-5 x=2 Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula

  7. Which method would you use to solve this quadratic equation? 3x2-6x-7=0 3(x2-2x)=7 3(x2-2x+1)=7+3 3(x-1)2 =10 Graphing (x-1)2 = 10/3 Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula x=1+ 10/3 x= 1- 1/3

  8. Which method would you use to solve this quadratic equation? x2 = 8 Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula x= 8 x=- 8

  9. Which method would you use to solve this quadratic equation? 2(x+2)2+12=56 2(x+2)2=44 (x+2)2= 22 (x+2)= 22 Graphing Inspection Taking a Square Root Factoring Completing the Square x= -2+ 22 x= -2- 22 Quadratic Formula

  10. In this lesson you have learned to determine the best method to solve a quadratic equation by comparing strategies.

  11. Which method would you use to solve this quadratic equation and why?

  12. Would factoring be a good method to solve this quadratic equation? Why or why not? 6x2+3x=0 When is graphing a good method to use to solve a quadratic?

  13. Extension Activities Make your own pros and cons chart for each of the methods.

  14. Extension Activities Can you make a flow chart to help you to decide when to use which method?

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