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7.6 Applications of Quadratic Equations What are your objectives for Section 7.6? How can you accomplish each objective? 1 Solve Problems Involving Geometry • Review the geometry formulas you learned in Section 1.3. • Notice that you are using the same Five Steps for Solving Applied Problems! • Rewrite the procedure, and add more details to what you will do in Step 4 now that you are using quadratic equations. • Complete the given example on your own. • Complete You Try 1. 2 Solve Problems Involving Consecutive Integers • Use the procedure box you developed in Objective 1 to solve this type of application. • Complete the given example on your own. • Complete You Try 2. 3 Solve Problems Using the Pythagorean Theorem • Understand and memorize the Pythagorean theorem. • Note that you will substitute the information provided into the Pythagorean theorem and then solve for the variable. • Complete the given examples on your own. • Complete You Trys 3 and 4. 4 Solve Applied Problems Using Given Quadratic Equations • Understand what is being asked in each step of the example. • Complete the given example on your own. • Complete You Try 5. Read the explanations, follow the examples, take notes, and complete the You Trys. In Chapters 2 and 4, we learned how to solve applied problems involving linear equations. In this section, we will learn how to solve applications involving quadratic equations. Let’s begin by reviewing the fi ve steps for solving applied problems. Procedure Steps for Solving Applied Problems Step 1: Read the problem carefully, more than once if necessary, until you understand it. Draw a picture, if applicable. Identify what you are being asked to fi nd. Step 2: Choose a variable to represent an unknown quantity. If there are any other unknowns, defi ne them in terms of the variable. Step 3: Translate the problem from English into an equation using the chosen variable. Step 4: Solve the equation. Step 5: Check the answer in the original problem, and interpret the solution as it relates to the problem. Be sure your answer makes sense in the context of the problem. Look at the previous section to get more details on what you are doing in Step 4. 432 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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