THE QUADRATIC FORMULA.

Slides:

Advertisements

Similar presentations

Solving Equations by Factoring

Advertisements

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 =

7.1 – Completing the Square

EXAMPLE 4 Choose a solution method Tell what method you would use to solve the quadratic equation. Explain your choice(s). a. 10x 2 – 7 = 0 SOLUTION a.

4.8 Quadratic Formula and Discriminant

10-3: Solving Quadratic Equations

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

Table of Contents Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up.

Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.

Table of Contents A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic.

SOLVING QUADRATIC EQUATIONS Unit 7. SQUARE ROOT PROPERTY IF THE QUADRATIC EQUATION DOES NOT HAVE A “X” TERM (THE B VALUE IS 0), THEN YOU SOLVE THE EQUATIONS.

A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.

Introduction to Quadratic Equations & Solving by Finding Square Roots Chapter 5.3.

Quadratic Relations Solving Quadratic Equations Day 2: Solve by Isolating the Variable Saturday, June 04, 20161Day 2 - Solve by Isolating the Variable.

Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.

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

Solving Equations by Factoring Definition of Quadratic Equations Zero-Factor Property Strategy for Solving Quadratics.

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

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

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

2.1 – Linear and Quadratic Equations Linear Equations.

1.4 Quadratic Equations. General Form of a Quadratic Equation A quadratic equation is also known as a second-degree polynomial equation.

Notes Over 5.6 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.

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

Concept 25 Learning Target: I can solve quadratics by using the quadratic formula.

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 Quadratic Formula Medina (Revised 2/26/14 ep)1.

Chapter 4 Quadratic Equations

Section 2.5 – Quadratic Equations

THE QUADRATIC FORMULA.

Lesson 5.6: The Quadratic Formula & the Discriminant

Solving Quadratic Equations by the Quadratic Formula

Equations Quadratic in form factorable equations

Warm-up 1. Solve the following quadratic equation by Completing the Square: 2x2 - 20x + 16 = 0 2. Convert the following quadratic equation to vertex.

Solving Equations by Factoring

COMPLETING THE SQUARE.

3-3: Cramer’s Rule.

HW: Worksheet Aim: How do we apply the quadratic equation?

The Quadratic Formula..

Solving quadratics methods

Solving Quadratic Equations by the Complete the Square Method

3.3: The Quadratic Formula

Warm up – Solve by Taking Roots

Worksheet Key 9 11/14/2018 8:58 PM Quadratic Formula.

Solving Using Quadratic Equations

The Quadratic Formula..

A quadratic equation is written in the Standard Form,

2.2: Solving Equations Through Various Methods

4.8 The Quadratic Formula and the Discriminant

Unit 7 Day 4 the Quadratic Formula.

Warm up – Solve by Completing the Square

The Quadratic Formula.

Solving Quadratic Equations

3.2 Complex Numbers.

Solving Quadratic Equations by Factoring

The Discriminant Determine the number of real solutions for a quadratic equation including using the discriminant and its graph.

4.3 Solving Quadratic Equations by Factoring

Aim: How do we use quadratic formula to solve equation?

Solving Quadratic Equations by the Quadratic Formula

Standard Form Quadratic Equation

Chapter 9 Section 1.

Equations Quadratic in form factorable equations

The following slides contain repeats of information on earlier slides, shown without colour, so that they can be printed and photocopied. For most purposes.

Solve quadratic equations using the: QUADRATIC FORMULA

Solving Special Cases.

Quadratic Formula & Discriminant

Solving Quadratic Equations by Finding Square Roots

Presentation transcript:

THE QUADRATIC FORMULA

WHAT IS IT FOR? The quadratic formula is used to solve quadratic equations. What is a quadratic equation? What does it mean to solve? BACK

QUADRATIC EQUATIONS To use the quadratic formula the equations must be in descending order equal to zero (aka Standard Form). All quadratic equations can be written in this form where: a, b, and c are constants and “a” cannot be zero. BACK

OTHER EXAMPLES Here are some more examples of quadratic equations: Notice in the last one that there is no c term. This is not a mistake. Notice also that all quadratic equations have a squared variable. BACK

USING THE QUADRATIC FORMULA TO SOLVE Remember the quadratic formula shown earlier. BACK

USING THE FORMULA Look at the quadratic equation below and compare it to the standard form of a quadratic equation. BACK

USING THE FORMULA Simply list your a, b, and c values from your quadratic equation and plug them into the quadratic formula. a=1 (if there is no number before x2, assume a = 1). b=5 c=6 BACK

USING THE FORMULA a=1 b=5 c=6 BACK

USING THE FORMULA a=1 b=5 c=6 Replace a, b, and c in the formula and look what you have. BACK

USING THE FORMULA BACK

USING THE FORMULA BACK

Your Turn

Quadratic Formula 0 = 2y2 + 4y - 1 a = 2 b = 4 c = -1 -4, 2, and 4 are all three divisible by two and therefore can be reduced.

No Real Roots Since there is no real number that is the square root of a negative number, this equation has no real roots.

THE QUADRATIC FORMULA