Solving simultaneous linear and quadratic equations

Slides:

Advertisements

Similar presentations

Solve a System Algebraically

Advertisements

Algebra Recap Solve the following equations (i) 3x + 7 = x (ii) 3x + 1 = 5x – 13 (iii) 3(5x – 2) = 4(3x + 6) (iv) 3(2x + 1) = 2x + 11 (v) 2(x + 2)

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.

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.

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

9.4 – Solving Quadratic Equations By Completing The Square

JEOPARDY! Linear Equations Complex Numbers Quadratic Equations Solving Inequalities GO TO.

Notes Over 5.4 Imaginary Numbers.

6.5 – Solving Equations with Quadratic Techniques.

Vocabulary: Chapter Section Topic: Simultaneous Linear Equations

HPC 1.4 Notes Learning Targets: - Solve equations using your calculator -Solve linear equations -Solve quadratic equations - Solve radical equations -

6.5 – Applying Systems of Linear Equations

Exponential Equations. Do you remember how to solve 2 x = 16?  2 x = 16 An equation with unknown indices is called an exponential equation. 2 x = 2 4.

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.

Quadratics Solving equations Using “Completing the Square”

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.

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.

Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic equation.

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

Section 7.5 Trigonometric Equations Objective: To solve linear and quadratic trigonometric equations.

Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second.

2.1 – Linear and Quadratic Equations Linear Equations.

Notes Over 5.6 Quadratic Formula

Rewrite the numbers so they have the same bases i.e. 8 2 = (2 3 ) 2.

5 minutes Warm-Up Solve. 2) 1).

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.

Notes Over 10.7 Factoring Special Products Difference of Two Squares.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

Quadratics Factoring quadratics to solve equations.

Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.

MATH II – QUADRATICS to solve quadratic equations. MATH III – MATH II –

Solving Linear Equations

Simultaneous Equations 1

NON LINEAR FUNCTION Quadratic Function.

Solving Quadratic Equations by Completing the Square

Solving Nonlinear Systems

Solving Quadratic Equations by the Complete the Square Method

Solve Quadratic Equations by the Quadratic Formula

Linear Equations and Rational Equations

Solving harder linear Simultaneous Equations

Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.

Linear Equations Quadratic Equations Proportion Simultaneous Equations

I CAN solve equations using the Quadratic Formula. lesson 9.4a.

Class Notes 11.2 The Quadratic Formula.

The Quadratic Formula.

Solve System by Linear Combination / Addition Method

Quadratic Simultaneous Equations

Zeros to Quadratic Functions

Solving Quadratics by Factoring

Families of Quadratics

Factoring a Quadratic Expression

Quadratic simultaneous Equations 3

Solving Cubic Equations

Objective - To solve quadratic equations by completing the square.

Unit 23 Algebraic Manipulation

Quadratic simultaneous Equations 1

Absolute Value Equations Absolute Value Inequalities Factoring

Quadratic Systems. What you’ll learn

Systems of Equations Solve by Graphing.

Drawing Graphs The straight line Example

Chapter 8 Systems of Equations

Solve each quadratic using whatever method you choose!

Notes Over Using Radicals

1.) What is the value of the discriminant?

Solving Quadratic Equations by Finding Square Roots

Quadratic Equations: Solving by factorising

Solving a System of Linear Equations

Presentation transcript:

Solving simultaneous linear and quadratic equations 11 Methods Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Title Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Title Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Title Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Title Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Title Solving simultaneous linear and quadratic equations

Solving simultaneous linear and quadratic equations Complete the set questions in 3J