Solving Quadratic Equations by the Quadratic Formula

Slides:

Advertisements

Similar presentations

Solving Quadratic Equations by the Quadratic Formula

Advertisements

Solving Quadratic Equations by the Quadratic Formula

The Discriminant Check for Understanding – Given a quadratic equation use the discriminant to determine the nature of the roots.

7.1 – Completing the Square

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.

The Quadratic Formula..

Notes Packet 10: Solving Quadratic Equations by the Quadratic Formula.

Bell Work 3/9/15 Solve for variables. 1. 3X = 0 2. w 2 =64 3. (W+3) 2 =20.

Solving Quadratic Equations by the Quadratic Formula

Objective 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 ?

The Discriminant Check for Understanding –

U4L4 Solving Quadratic Equations by the Quadratic Formula.

Solving Quadratic Equations by the Quadratic Formula Section 4.8.

Solve each equation by factoring. 3x 2 =5x x= {0, 5/3} Homework Quiz.

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.

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.

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

Entry Task. Solving Quadratic Equations by the Quadratic Formula Learning Target: I can use the quadratic formula to solve a quadratic equation.

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

Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.

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.

Solving Quadratic Equations by the Quadratic Formula.

6.5 The Quadratic Formula and the Discriminant

Entry Task Simplify 1) √80 2 2)

The Quadratic Formula and the Discriminant

4.6 Quadratic formula.

Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula

Using the Quadratic Formula to Find Solutions

Solving Quadratic Equations by the Quadratic Formula

6.5 The Quadratic Formula and the Discriminant 2/13/07

The Quadratic Formula..

Solving Quadratic Equations by the Quadratic Formula

Section 5-3: X-intercepts and the Quadratic Formula

Solve each of the quadratic functions: x2 – 4 = 0 2. x2 - 2x – 8= 0

The QUADRATIC Discriminant.

Warm-up August 16, 2016 If the solutions to a quadratic equation are 2 and -3, what is the quadratic equation? Find the solution to the quadratic equation,

The Quadratic Formula and the Discriminant

3.3: The Quadratic Formula

The Quadratic Formula and the Discriminant

4.6 Quadratic formula.

The Discriminant Check for Understanding –

Solving Quadratic Equations by the Quadratic Formula

3.7: Solving Quadratic Equations by the Quadratic Formula

The Quadratic Formula..

13.4 The Quadratic Formula and Discriminat

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

Section 9.6 The Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula

Warm Up Solve each of the quadratic functions: x2 – 3 = 0

Skills Check ALL Factoring

Solving Quadratic Equations by the Quadratic Formula

Warm ups What is the quadratic formula?

Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula

Skills Check Solve by Factoring and Square Roots

The Discriminant Check for Understanding –

Lessons The quadratic Formula and the discriminant

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

Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula

Solve quadratic equations using the: QUADRATIC FORMULA

Applying the Quadratic Formula

Solve using factoring or square root property.

Aim: What is the nature of the roots of a quadratic equation?

5.6 Solving Quadratic Equations by the Quadratic Formula

13.4 The Quadratic Formula and Discriminant

Solving Quadratic Equations by the Quadratic Formula

Presentation transcript:

Solving Quadratic Equations by the Quadratic Formula

THE QUADRATIC FORMULA When you solve using completing the square on the general formula you get: This is the quadratic formula! Just identify a, b, and c then substitute into the formula.

WHY USE THE QUADRATIC FORMULA? The quadratic formula allows you to solve ANY quadratic equation, even if you cannot factor it. An important piece of the quadratic formula is what’s under the radical: b2 – 4ac This piece is called the discriminant.

Example #1 a=2, b=7, c=-11 Discriminant = Discriminant = Find the value of the discriminant and describe the nature of the roots (real,imaginary, rational, irrational) of each quadratic equation. Then solve the equation using the quadratic formula) 1. a=2, b=7, c=-11 Discriminant = Value of discriminant=137 Positive-NON perfect square Nature of the Roots – 2 Reals - Irrational Discriminant =

Example #1- continued Solve using the Quadratic Formula

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.

Solving Quadratic Equations by the Quadratic Formula Try the following examples. Do your work on your paper and then check your answers.