Section 1.5 Quadratic Equations

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Presentation transcript:

Section 1.5 Quadratic Equations

Solving Quadratic Equations by Factoring

Example Solve by factoring:

Example Solve by factoring:

Example Solve by factoring:

Solving Quadratic Equations by the Square Root Property

Example Solve by the square root property:

Example Solve by the square root property:

Completing the Square

Why we call this completing the square.

Example What term should be added to each binomial so that it becomes a perfect square trinomial? Write and factor the trinomial.

Example Solve by Completing the Square:

Example Solve by Completing the Square:

Solving Quadratic Equations Using the Quadratic Formula

Example Solve by using the Quadratic Formula:

The Discriminant

Example Compute the discriminant and determine the number and type of solutions:

Determining Which Method to Use

Applications

Example

Example A 42 inch television is a television whose screen’s diagonal length is 42 inches. If a television’s screen height is 26 inches, find the width of the television screen 42 inches 26 inches

(a) (b) (c) (d)

(a) (b) (c) (d)