Chapter 11 Quadratic Equations

Sect. 11.1 Review of Solving Equations by Factoring Ex. 1

Factoring Example continued

Sect. 11.2 Solving Quadratic Equations Using the Square Root Property Ex. 1 Sect. 11.2 Solving Quadratic Equations Using the Square Root Property

Solving Quadratic Equations Using the Square Root Property cont

Solve an Equation of the Form (ax+b)2=k Ex. 2 Solution set is {-1, 9}

Solve an Equation of the Form (ax+b)2=k Another Example

Use the Distance Formula Ex. 4

Sect. 11.3 Complex Numbers

Find the Square Root of a Negative Number Ex. 1

Multiply and Divide Square Roots Contining Negative Numbers Ex. 2

Add and Subtract Complex Numbers

Multiply Complex Numbers

Multiply a Complex Number by Its Conjugate

Divide Complex Numbers

Ex. 7 Use the Square Root Property to Solve an Equation of the Form (ax+b)2 = k where k < 0

Sect. 11.4 Solving Quadratic Equations by Completing the Square Ex. 1

Solving Quadratic Equations by Completing the Square continued

Complete the Square for an Expression of the form ax2 + bx, where b is an Odd Integer or a Fraction

Complete the Square for an Expression of the form ax2 + bx, where b is an Odd Integer or a Fraction continued

Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square Ex. 3

Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued

Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued

Solve an Equation of the Form ax2 + bx + c = 0 by Completing the Square continued

Sect. 11.5 Solving Equations Using the Quadratic Formula

Examples of Solving Using the Quadratic Formula

Examples of Solving Using the Quadratic Formula continued

Examples of Solving Using the Quadratic Formula continued

Examples of Solving Using the Quadratic Formula continued

Determine the Number and Type of Solutions to a Quadratic Equation Using the Discriminant Ex. 3

Determine the Number and Type of Solutions to a Quadratic Equation Using the Discriminant continued

Solve an Applied Problem Using the Quadratic Formula Ex. 4 Solve an Applied Problem Using the Quadratic Formula

Solve an Applied Problem Using the Quadratic Formula continued

Solve an Applied Problem Using the Quadratic Formula continued

Ex. 1 Learn How to Decide Which Method to Use to Solve a Given Quadratic Equation

Learn How to Decide Which Method to Use to Solve a Given Quadratic Equation

Sect. 11.6 Equations in Quadratic Form Solve an equation containing rational expressions.

Solve Quadratic Equations that Result from Equations Containing Radical Expressions

Solve an Equation in Quadratic Form By Factoring Ex. 3 Solve an Equation in Quadratic Form By Factoring

Solve an Equation in Quadratic Form By Factoring

Ex. 4 Solve an Equation in Quadratic Form Using Substitution and then Factoring

Solve an Equation in Quadratic Form Using Substitution and the Quadratic Formula Ex. 5

Use Substitution for a Binomial to Solve a Quadratic Equation Ex. 6

Use Substitution for a Binomial to Solve a Quadratic Equation continued

Sect. 11.7 Formulas and Applications

More Examples of Solving for a Paricular Variable

Solve an Applied Problem Involving Volume Ex. 3 Solve an Applied Problem Involving Volume

Solve an Applied Problem Involving Volume continued

Solve an Applied Problem Involving Area Ex. 4

Solve an Applied Problem Involving Area cont

Solve an Applied Problem Modeled by a Given Quadratic Equation

Solve an Applied Problem Modeled by a Given Quadratic Equation continued