10.3 Equations in Quadratic Form What are your objectives for Section 10.3? How can you accomplish each objective? 1 Solve Quadratic Equations Resulting from Equations Containing Fractions or Radicals • Review the procedure for eliminating fractions in equations by using the LCD. • Review the procedures for solving equations containing radicals. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Solve an Equation in Quadratic Form by Factoring • Be able to recognize when an equation is in quadratic form. • Apply the same methods for solving equations in quadratic form as you would use with quadratic equations. • Check all solutions in the original equation. • Complete the given example on your own. • Complete You Try 3. 3 Solve an Equation in Quadratic Form Using Substitution • Understand why and how we can use substitution. • Be familiar with all methods for solving quadratic equations. • Substitute the original variables back into the equation to fi nish solving. • Complete the given example on your own. • Complete You Trys 4 and 5. 4 Use Substitution for a Binomial to Solve a Quadratic Equation • Choose a variable for the binomial quantity and substitute this into the equation. • Be familiar with all methods for solving quadratic equations. • Substitute the original binomial back into the equation to fi nish solving. • Complete the given example on your own. • Complete You Try 6. Read the explanations, follow the examples, take notes, and complete the You Trys. In Chapters 8 and 9, we solved some equations that were not quadratic but could be rewritten in the form of a quadratic equation, ax2 bx c 0. Two such examples are: 10 x 7 x 1 2 3 and r 1r 12 Rational equation (Ch. 8) Radical equation (Ch. 9) We will review how to solve each type of equation. 636 CHAPTER 10 Quadratic Equations and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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