Solving Quadratic Equations by Factorisation Slideshow 19 Mathematics Mr Sasaki Room 307.

Slides:

Advertisements

Similar presentations

Slideshow 4 Mr Richard Sasaki Room 307 Adding and Subtracting Positive and Negative Numbers.

Advertisements

Slideshow 13, Mathematics Mr Richard Sasaki, Room 307.

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.

Multiplying and dividing positive and negative numbers Slideshow 5, Mr Richard Sasaki Room 307.

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

Slideshow 15 Mathematics Mr Sasaki Room 307 BRACKET EXPANSION AND FACTORISATION.

Applications of Expansion and Factorisation SLIDESHOW 17 MATHEMATICS MR SASAKI ROOM 307.

FINDING GRAPH NAMES WHEN GIVEN CO-ORDINATES SLIDESHOW 30, MATHEMATICS MR RICHARD SASAKI, ROOM 307.

Slideshow 14, Mathematics Mr Richard Sasaki, Room 307.

Relationships between unknowns and Simultaneous Equations SLIDESHOW 11, MR RICHARD SASAKI ROOM 307, MATHEMATICS.

Slideshow 10, Mathematics Mr Richard Sasaki, Room 307 Powers and Indices.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

USING THE FORMULA (SOLVING QUADRATICS) Slideshow 18, Mathematics Mr Richard Sasaki, Room 307.

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

Square Rooting Equations Slideshow 19, Mathematics, Mr Richard Sasaki, Room 307.

Equations Reducible to Quadratic

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

Solving Quadratic Equations with Graphs Slideshow 31, Mathematics Mr. Richard Sasaki, Room 307.

{ Solving Equations Slideshow 9, Mathematics Room 307, Mr Richard Sasaki.

Slideshow 16, Mathematics Mr Richard Sasaki, Room 307.

Slideshow 10, Mathematics Room 307, Mr Richard Sasaki Changing the Subject of Formulae.

Solving Inequalities by adding or subtracting, checking the inequality & graphing it!! This is so easy you won’t even need one of these!!!

Solving Quadratic Equations Quadratic Equations: Think of other examples?

Building and Solving Equations Slideshow 23, Mathematics Mr Richard Sasaki Room 307.

SOLVING SIMULTANEOUS EQUATIONS GRAPHICALLY Slideshow 32, Mathematics Mr Richard Sasaki, Room 307.

Solving a Trigonometric Equation Find the general solution of the equation.

Calculating Square Roots – Part 2 Slideshow 4, Mr Richard Sasaki, Room 307.

Drawing Quadratic Curves Slideshow 27, Mathematics Mr. Richard Sasaki, Room 307.

Notes Over 5.6 Quadratic Formula

Equations with Decimal and Fractional Terms Slideshow 22, Mathematics Mr Richard Sasaki Room 307.

An Introduction to Equations Slideshow 17, Mathematics Mr Richard Sasaki Room 307.

Applications of Quadratic Equations Slideshow 23, Mathematics Mr Richard Sasaki, Room 307.

Equations with Numbers and Unknowns on Both Sides Slideshow 21, Mathematics Mr Richard Sasaki Room 307.

Expanding brackets Slideshow 11, Mathematics Mr Richard Sasaki, Room 307.

Drawing Quadratic Curves – Part 2 Slideshow 28, Mathematics Mr. Richard Sasaki, Room 307.

Finding Rates of Change – Part 2 Slideshow 30, Mathematics Mr. Richard Sasaki, Room 307.

Linear Sequences Slideshow 7, Room 307 Mr Richard Sasaki, Mathematics Slideshow 7, Room 307 Mr Richard Sasaki, Mathematics.

DRAWING LINEAR FUNCTIONS AS GRAPHS Slideshow 27, Mathematics Mr Richard Sasaki, Room 307.

Which of these is 52 written as a product of its prime factors? a) 2 x 26b) 2 x 2 x 13 c) 4 x 13d) 1 x 52.

Slideshow 22, Mathematics Mr Richard Sasaki, Room 307

The Quadratic Formula..

7.3 Solving Equations Using Quadratic Techniques

Equations Quadratic in form factorable equations

The Quadratic Formula..

Quadratic Formula Solving for X Solving for quadratic equations.

Solving Quadratic Equations by the Complete the Square Method

Quadratic Equations.

Adding and Subtracting Polynomials – Part 2

Slideshow 22, Mathematics Mr Richard Sasaki

Slideshow 10, Mr Richard Sasaki, Mathematics

Class Notes 11.2 The Quadratic Formula.

Drawing Quadratic Curves – Part 2

Quadratic Functions(2)

Drawing Quadratic Curves

Applications of Expansion and Factorisation

Solving equations Mrs. Hall.

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

Two Types of Factorising

Solving by Factorising

The Quadratic Formula..

A, b and c can be any numbers

Quadratic Equations: Solving by factorising

Solving Quadratic Equations by Factorisation

The Quadratic Formula..

A, b and c can be any numbers

quadratic formula. If ax2 + bx + c = 0 then

A, b and c can be any numbers

Factorise and solve the following:

Quadratic Equations: Solve when factorised

Presentation transcript:

Solving Quadratic Equations by Factorisation Slideshow 19 Mathematics Mr Sasaki Room 307

Objectives

Factorised Quadratics As you know, we can factorise quadratics to help us solve them. For simple quadratics, this is the easiest and quickest method. Why are these the solutions?

Other Quadratics We would then get the two equations… or or It’s easy to solve factorised quadratics!

Practice

FactorisationExample Example

Answers - Easy

Answers - Hard

FactorisationExample

Example

Let’s try one more example. Example

Answers - Top

Answers - Bottom