R3) What do you fi nd most diffi cult about solving Solve. 61) An object is thrown upward from a height of 24 ft. The height h of the object (in feet) t sec after the object is released is given by h 16t2 24t 24. a) How long does it take the object to reach a b) How long does it take the object to hit the ground? 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. www.mhhe.com/messersmith applied problems? height of 8 ft? R1) How many different types of solutions are possible for a quadratic equation? R2) Do you know any songs that might help you remember the quadratic formula? Putting It All Together What are your objectives for Putting It All Together? How can you accomplish each objective? 1 Decide Which Method to Use to Solve a Quadratic Equation • Be able to write out all the different methods in your notes. • Review characteristics of each method, and be able to identify the most effi cient method for each problem. • Try solving some problems using more than one method, if time permits, and check your answers. • Complete the given example on your own. • Complete You Try 1. Read the explanations, follow the examples, 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 632 CHAPTER 10 Quadratic Equations and Functions 62) A ball is thrown upward from a height of 6 ft. The height h of the ball (in feet) t sec after the ball is released is given by h 16t2 44t 6. a) How long does it take the ball to reach a height of 16 ft? b) How long does it take the object to hit the ground?
messersmith_power_intermediate_algebra_1e_ch4_7_10
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