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messersmith_power_introductory_algebra_1e_ch4_7_10

Putting It All Together What is your objective? How can you accomplish the objective? 1 Decide Which Method to Use to Solve a Quadratic Equation • While following Example 1 on your own, make a chart that will help you identify when to use each of the four methods. • Complete the given example on your own. • Complete You Try 1. Read the explanations, follow the example, take notes, and complete the You Try. We have learned four methods for solving quadratic equations. Methods for Solving Quadratic Equations 1) Factoring 2) Square root property 3) Completing the square 4) Quadratic formula While it is true that the quadratic formula can be used to solve every quadratic equation of the form ax2 bx c 0 (a 0), it is not always the most effi cient method. In this section, we will discuss how to decide which method to use to solve a quadratic equation. 1 Decide Which Method to Use to Solve a Quadratic Equation Solve. a) c2 3c 28 b) x2 10x 18 0 c) 2k2 5k 9 0 d) (5n 3)2 12 0 Solution a) Write c2 3c 28 in standard form: c2 3c 28 0 Does c2 3c 28 factor? Yes. Solve by factoring. (c 7)(c 4) 0 b R c 7 0 or  c 4 0 Set each factor equal to 0. c 7 or  c 4 Solve. The solution set is {4, 7}. EXAMPLE 1 In-Class Example 1 Solve. a) r2 3r 18 b) t2 12t 8 0 c) 5p2 2p 4 0 d) (7y 1)2 3 0 Answer: a) {6, 3} b) {6 217, 6 217} c) d) e 1 13 7 , 1 13 7 f 628 CHAPTER 10 Quadratic Equations www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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