Lesson 4

Selecting the Strategy for Solving the Quadratic Equation

 

So far in this module you have learned how to solve quadratic equations by a number of different strategies. These include the following:

• graphing
• factoring
• completing the square
• using the quadratic formula

The strategy that you use to solve any given quadratic equation will depend on the nature of the equation and the type of answer that is required, as well as on your own personal preference. In the next activity, you will work with a classmate to decide which strategies are best used to solve each of the quadratic equations that are given.

 

Share 2

1. Work with a classmate to complete Strategies Chart. Then answer the questions 2 and 3 based on the information you gathered by completing Strategies Chart.

2. Which method do you prefer? Give reasons for your answer.
   
   
3. What are the advantages and disadvantages of each method? Summarize your answers in Advantages and Disadvantages Chart.

Save your work in your course folder.

 

Try This 4

 

An open box is constructed out of a sheet of cardboard measuring 24 in by 20 in. A square of unknown dimensions is cut out of each corner of the sheet to form the sides of the box. The base of the box has an area of 165 in2. Note: You will copy your answer to this question into your Lesson 4 Assignment later in the lesson.

1. Determine an expression for each of the dimensions of the base of the box.
   
   
2. Set up an equation that can be used to determine the dimensions of each removed square.
   
   
3. Determine the dimensions of the box.

Save your work in your course folder.