NOTES 0-5C QUADRATIC FORMULA Student Learning Goals: Students will be able to solve quadratic equations using the quadratic formula.

Slides:

Advertisements

Similar presentations

 Understand that the x-intercepts of a quadratic relation are the solutions to the quadratic equation  Factor a quadratic relation and find its x- intercepts,

Advertisements

Chapter 9: Quadratic Equations and Functions

EXAMPLE 5 Solve a vertical motion problem Juggling

Quadratic formula.

Day 4 What number inserted into the following expression would complete the square?

9.4 – Solving Quadratic Equations By Completing The Square

Quadratic Equations and their Applications

5.5 Quadratic Equations Quizzes back TOMORROW…I hope…

MM2A3 Students will analyze quadratic functions in the forms f(x) = ax 2 +bx + c and f(x) = a(x – h) 2 = k. MM2A4b Find real and complex solutions of equations.

9-4 Quadratic Equations and Projectiles

4.8 – Use the Quadratic Formula and the Discriminant

Applications of Quadratic Equations

Chapter 4 Section 5.B Solving Quadratics by Finding Square Roots In this assignment, you will be able to... 1.Solve a quadratic equation. 2. Model a dropped.

Quarterly Assessment 3 Warm Up # 3 Work on your Make up QA.

10.4 Solving With Square Roots. Quadratic Equations:

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

Section 2.6 Quadratic Functions. y = x 2 How many real zeros does it have? How many real zeros can a quadratic function have?

1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.

To add fractions, you need a common denominator. Remember!

Holt Algebra Solving Quadratic Equations by Graphing and Factoring Solve quadratic equations by factoring. Find roots of quadratic equations. Graph.

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

WHAT DOES IT MEAN TO SOLVE QUADRATIC FUNCTIONS? WHAT ARE ALL OF THE…

Lesson 9-8 Warm-Up.

5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.

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

10.6 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Solve Quadratic Equations by the Quadratic Formula.

Solving Quadratic Equations by Finding Square Roots.

Math 20-1 Chapter 4 Quadratic Equations

Holt Algebra The Quadratic Formula. Holt Algebra The Quadratic Formula.

Objectives Solve quadratic equations using the Quadratic Formula.

Holt McDougal Algebra The Quadratic Formula Warm Up Write each function in standard form. Evaluate b 2 – 4ac for the given values of the valuables.

1.8 Quadratic Formula & Discriminant p. 58 How do you solve a quadratic equation if you cannot solve it by factoring, square roots or completing the square?

EXAMPLE 5 Solve a vertical motion problem A juggler tosses a ball into the air. The ball leaves the juggler’s hand 4 feet above the ground and has an initial.

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Warm-Up Exercises Evaluate the expression for the given value of x – (–x) + 9; x = – – x + 3; x = 8 ANSWER 22 ANSWER 9.

 Given a quadratic equation in standard form, the value of x can be found by using the quadratic formula:

MAT 150 Unit 2-2: Solving Quadratic Equations. Objectives  Solve quadratic equations using factoring  Solve quadratic equations graphically using the.

Lesson 9.5 Objective: To solve quadratic equations using the quadratic formula. Quadratic formula: When Then the value of x is… What formula can be used.

Factoring to Solve Quadratic Equations – Solving Quadratic Equations by Factoring A quadratic equation is written in the Standard Form, where a,

SOLVE QUADRATIC EQUATIONS BY GRAPHING. 5.2 Solving Quadratic Equations by Graphing.

5.5 and 5.6 Solving Quadratics with Complex Roots by square root and completing the square method Solving Quadratics using Quadratic Formula.

Section 4.7: Completing the Square.

Write each function in standard form.

Chapter 4: Quadratic Functions and Equations

Write each function in standard form.

Quadratic Word Problems

Solving by factoring & taking square roots

Solving Quadratic Equations by the Complete the Square Method

Notes Over 9.6 Quadratic Formula

6-3 Solving Quadratic Equations by Factoring

Warm Up – System of Equations

Unit 6 Part 2 Test Review Algebra 1.

Solve Quadratic Equations by Finding Square Roots

Objectives Solve quadratic equations using the Quadratic Formula.

5-1 Solving Quadratic Equations by Graphing and Factoring SWBAT

Using the Quadratic Formula

Warm Up: Solve by factoring .

Lesson 8-10 Nonlinear Systems

9.4 Solving Quadratic Equations

9-4 Quadratic Equations and Projectiles

Quadratic Function model

Using the Quadratic Formula

Solve by Graphing Solve by Factoring Complex Numbers Solve by

The Quadratic Formula CA 19.0, 20.0.

Notes Over 9.5 Quadratic Formula

1. A person throws a baseball into the air with an initial vertical velocity of 30 feet per second and then lets the ball hits the ground. The ball is.

LEARNING GOALS - LESSON 5.3 – DAY 1

Using the Quadratic Formula

David threw a baseball into the air

L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.

Presentation transcript:

NOTES 0-5C QUADRATIC FORMULA Student Learning Goals: Students will be able to solve quadratic equations using the quadratic formula

Solving Quadratic Equations We can solve quadratic equations using various methods. We can solve by graphing, factoring, completing the square, and using the quadratic formula. When we solve a quadratic function we are looking for all the possible values that make the equation true.

Steps for using the Quadratic Formula Step 1: Set equation equal to zero Step 2: Find the values for a, b, and c Step 3: Substitute those values in to the quadratic formula Step 4: Evaluate using the order of operations

Example 1 Solve

Example 2 Solve

Example 3 Solve

Example 4 A football is thrown through the air. The height, h, of the ball (in feet) after the distance, d (also in feet), the ball travels horizontally is given by: What is the distance that the ball will travel (in feet) before it hits the ground?