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Chapter 11 Quadratic Equations
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Sect. 11.1 Review of Solving Equations by Factoring
Ex. 1
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Factoring Example continued
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Sect. 11.2 Solving Quadratic Equations Using the Square Root Property
Ex. 1 Sect Solving Quadratic Equations Using the Square Root Property
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Solving Quadratic Equations Using the Square Root Property cont
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Solve an Equation of the Form (ax+b)2=k
Ex. 2 Solution set is {-1, 9}
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Solve an Equation of the Form (ax+b)2=k Another Example
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Use the Distance Formula
Ex. 4
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Sect Complex Numbers
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Find the Square Root of a Negative Number
Ex. 1
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Multiply and Divide Square Roots Contining Negative Numbers
Ex. 2
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Add and Subtract Complex Numbers
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Multiply Complex Numbers
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Multiply a Complex Number by Its Conjugate
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Divide Complex Numbers
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Ex. 7 Use the Square Root Property to Solve an Equation of the Form (ax+b)2 = k where k < 0
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Sect. 11.4 Solving Quadratic Equations by Completing the Square
Ex. 1
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Solving Quadratic Equations by Completing the Square continued
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Complete the Square for an Expression of the form ax2 + bx, where b is an Odd Integer or a Fraction
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Complete the Square for an Expression of the form ax2 + bx, where b is an Odd Integer or a Fraction continued
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Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square
Ex. 3
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Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued
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Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued
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Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued
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Sect. 11.5 Solving Equations Using the Quadratic Formula
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Examples of Solving Using the Quadratic Formula
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Examples of Solving Using the Quadratic Formula continued
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Examples of Solving Using the Quadratic Formula continued
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Examples of Solving Using the Quadratic Formula continued
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Determine the Number and Type of Solutions to a Quadratic Equation Using the Discriminant
Ex. 3
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Determine the Number and Type of Solutions to a Quadratic Equation Using the Discriminant continued
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Solve an Applied Problem Using the Quadratic Formula
Ex. 4 Solve an Applied Problem Using the Quadratic Formula
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Solve an Applied Problem Using the Quadratic Formula continued
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Solve an Applied Problem Using the Quadratic Formula continued
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Ex. 1 Learn How to Decide Which Method to Use to Solve a Given Quadratic Equation
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Learn How to Decide Which Method to Use to Solve a Given Quadratic Equation
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Sect. 11.6 Equations in Quadratic Form
Solve an equation containing rational expressions.
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Solve Quadratic Equations that Result from Equations Containing Radical Expressions
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Solve an Equation in Quadratic Form By Factoring
Ex. 3 Solve an Equation in Quadratic Form By Factoring
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Solve an Equation in Quadratic Form By Factoring
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Ex. 4 Solve an Equation in Quadratic Form Using Substitution and then Factoring
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Solve an Equation in Quadratic Form Using Substitution and the Quadratic Formula
Ex. 5
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Use Substitution for a Binomial to Solve a Quadratic Equation
Ex. 6
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Use Substitution for a Binomial to Solve a Quadratic Equation continued
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Sect. 11.7 Formulas and Applications
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More Examples of Solving for a Paricular Variable
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Solve an Applied Problem Involving Volume
Ex. 3 Solve an Applied Problem Involving Volume
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Solve an Applied Problem Involving Volume continued
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Solve an Applied Problem Involving Area
Ex. 4
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Solve an Applied Problem Involving Area cont
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Solve an Applied Problem Modeled by a Given Quadratic Equation
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Solve an Applied Problem Modeled by a Given Quadratic Equation continued
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