Difference between Expression and Equation?. L.O. To be able to solve Quadratic Equations There are several ways to solve a quadratic equation Factorising.

Slides:



Advertisements
Similar presentations
Factorise means put into brackets Solve means Find the values of x which make the equation true.
Advertisements

Roots & Zeros of Polynomials I How the roots, solutions, zeros, x-intercepts and factors of a polynomial function are related.
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.
9.4 – Solving Quadratic Equations By Completing The Square
GCSE Revision 101 Maths Quadratics © Daniel Holloway.
Surds and Quadratics AS
E Maths Lecture Chapter 1: Solutions of Quadratic Equations.
Linear Equations Learning Outcomes
Whiteboardmaths.com © 2008 All rights reserved
DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)
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.
Calculus 3.4 Manipulate real and complex numbers and solve equations AS
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.
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.
Example: 3x 2 + 9x + 6. Solving Quadratic Equations.
Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.
Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic equation.
SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48.
Solving a Trigonometric Equation Find the general solution of the equation.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
2.1 – Linear and Quadratic Equations Linear Equations.
Getting Started The objective is to be able to solve any quadratic equation by using the quadratic formula. Quadratic Equation - An equation in x that.
Notes Over 5.6 Quadratic Formula
Math I UNIT QUESTION: What do solutions of equations represent? Standard: MM1A3 Today’s Question: How do we solve quadratic equations algebraically?
Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.
Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D
AS Maths Core 1 Solving Quadratic Equations. There are many ways to solve quadratics! Here are the ways we’ll look at today… –Factorising (quickest method,
AS Mathematics Algebra – Quadratic equations. Objectives Be confident in the use of brackets Be able to factorise quadratic expressions Be able to solve.
Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.
Quadratic equations can be solved using a variety of different methods. All these methods will be explained in great detail on the following slides. By.
Chapter 4 Quadratic Equations
Factorising Expressions Lesson Objective: Can you factorise an expression correctly?
The Quadratic Formula..
Equations Quadratic in form factorable equations
The Quadratic Formula..
Quadratic Formula Solving for X Solving for quadratic equations.
Solving Quadratic Equations
Solving Quadratic Equations by the Complete the Square Method
3.3: The Quadratic Formula
Quadratic Equations.
A quadratic equation is written in the Standard Form,
Quadratics Completed square.
Unit 7 Day 4 the Quadratic Formula.
The Quadratic Formula.
Quadratic Functions(2)
What happens when the quadratic is not equal to 0?
Quadratics Multiply out (x+16) (x-16) (x+12) (x-12) = ?
Solving Quadratic Equations by Factoring
What happens when the quadratic is not equal to 0?
Systems of Linear and Quadratic Equations
Quadratic Equations L.O.
The Quadratic Formula L.O.
Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.
Objective - To solve quadratic equations by completing the square.
Quadratic Equations.
Unit 23 Algebraic Manipulation
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
Equations Quadratic in form factorable equations
The Quadratic Formula..
The Quadratic Formula..
quadratic formula. If ax2 + bx + c = 0 then
Difference between Expression and Equation?
Maths Unit 25 – Solving Equations
Presentation transcript:

Difference between Expression and Equation?

L.O. To be able to solve Quadratic Equations There are several ways to solve a quadratic equation Factorising Graphically Completing the square The quadratic formula We already know how to factorise quadratic expressions!

Starter

Factorising Method When using the factorising method to solve a quadratic equation, the equation must always equal zero If it doesn’t, re-arrange the equation to make it equal to zero!

Quadratics This quadratic equation would have two possible solutions This quadratic equation would have one possible solution This quadratic equation would have no possible solutions

Factorising Method 1. Factorise Since the two brackets multiplied together equals zero, at least one bracket must equal zero, so… 2. Solve the equations

Factorising Method

On your whiteboards, solve the following quadratic equations:

Graded Worksheet