13-4 The Quadratic Formula Standard 8.0. Quadratic Formula There once a negative boy who was all mixed up so he went to this radical party. Because the.

Slides:

Advertisements

Similar presentations

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =

Advertisements

7.1 – Completing the Square

The Quadratic Formula..

Questions from HW??? Use Square Roots to Solve Quadratic Equations Test: FRIDAY!!!!

Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula

Monday May 6 th 2013 Honors Algebra. May 6 th The Quadratic Formula Why didn’t we learn this first ?

Warm up – Solve by Taking Roots. Solving by the Quadratic Formula.

Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.

Warmups Factor Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.

Solving Quadratic Equations Using Completing the Square and the Quadratic Formula.

Goals: To solve quadratic equations by using the Quadratic Formula.

U4L4 Solving Quadratic Equations by the Quadratic Formula.

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

Warmups Factor Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.

Review How do we solve quadratic equations? 1.) Factoring using “Bottoms Up” 2.) if its not factorable by “Completing the Square”

Solving Quadratic Equations by the Quadratic Formula Section 4.8.

3.8 Warm Up Write the function in vertex form (by completing the square) and identify the vertex. a. y = x² + 14x + 11 b. y = 2x² + 4x – 5 c. y = x² -

Do Now : Evaluate when x = 6, y = -2 and z = The Quadratic Formula and the Discriminant Objectives Students will be able to: 1)Solve quadratic.

Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.

13.4 The Quadratic Formula Objective: 1.)To use the quadratic formula to solve quadratic equations 2.) To use the discriminant to find the number of solutions.

Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant.

Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac.

The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.

CPM Section 9.4A Quadratic Formula. Thus far we have considered two methods for solving quadratic function- factoring and using the square root property.

Warm–up #10. Solve by Factoring Homework Log Thurs 10/15 Lesson 2 – 5 Learning Objective: To solve quadratic equations by quadratic formula Hw:

Standard 20 The Quadratic Formula Example with numbers put in.

Given a quadratic equation use the discriminant to determine the nature of the roots.

4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

Warmups Factor. 9-6 Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.

Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  a = ____ b = ____ c = ____  we learned to solve.

Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.

10-4 Solving Quadratic Equations by Using the Quadratic Formula Objectives Students will be able to: 1)Solve quadratic equations by using the Quadratic.

Score Key for MT5 EOT. Notes: Move “C” to the other side and create “space” for your new numbers. Create ( ) 2 for you perfect square Find the number.

Table of Contents Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula.

Algebra 2 Notes March 23, Do you remember the Quadratic Formula? - Work with the people around you. Brainstorm and try and remember the quadratic.

ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.

Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.

Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.

Warm-Up Solve each equation by factoring. 1) x x + 36 = 02) 2x 2 + 5x = 12.

QUADRATIC FORMULA November 17, Objectives  Apply the quadratic formula  Use words to describe the process of the quadratic formula, verbally 

Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.

How do I solve quadratic equations using Quadratic Formula?

4.6 Quadratic formula.

Solving Quadratic Equations by the Quadratic Formula

Using the Quadratic Formula to Find Solutions

The Quadratic Formula..

Derivation of the Quadratic Formula

The Quadratic Formula and the Discriminant

4.6 Quadratic formula.

13.4 The Quadratic Formula and Discriminat

Solve x2 + 2x + 24 = 0 by completing the square.

Section 9.6 The Quadratic Formula

4.8 The Quadratic Formula and the Discriminant

Skills Check ALL Factoring

Questions over HW?.

Warm up – Solve by Completing the Square

Quadratic Formula & Discriminant

Solving Radical Equations

Quadratic Formula & the Discriminant

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

Quadratic Equations.

Skills Check Solve by Factoring and Square Roots

Solving Square Root Equations

Questions over HW?. Skills Check Radical Operations and Solving by Square Roots after HW Check.

Solving Quadratic Equations by the Quadratic Formula

Applying the Quadratic Formula

13.4 The Quadratic Formula and Discriminant

Presentation transcript:

13-4 The Quadratic Formula Standard 8.0

Quadratic Formula There once a negative boy who was all mixed up so he went to this radical party. Because the boy was square, he lost out on 4 awesome chicks so he cried his way home when it was all over at 2 AM.

Quadratic Formula IF THEN

Proving the Quadratic Formula Solve by completing the square

#1 Solve using the quadratic formula.

#2 Solve using the quadratic formula

Solve using the quadratic formula

#3 Solve using the quadratic formula

#4 Solve using the quadratic formula

#5 Solve using the quadratic formula

The Discriminant Discriminant In the quadratic formula, the expression underneath the radical that describes the nature of the roots.

Understanding the discriminant Discriminant # of real roots 2 real roots 1 real roots No real roots

#6 Using the discriminant

#7 Using the discriminant

Using the discriminant 8. 9.

#8 Using the discriminant

#9 Using the discriminant