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Quadratic Equations – Part 1 www.themegallery.com 33 22 11 Terminology Zero Factor Theorem Methods for Solving
Terms TerminologyDefinitionExample Quadratic Equation in xAn equation that can be written in the form ax 2 + bx + c =0, where a≠0 2 www.themegallery.com
Zero Factor Theorum If p and q are algebraic expressions, then pq=0 if and only if p=0 or q=0 3 www.themegallery.com
Solving by Factoring Solve 3x 2 =10-x 4 www.themegallery.com
More Solving by Factoring Solve the equation x 2 + 16 =8x 5
A Special Quadratic Equation If x 2 = d, then x = ± 6 www.themegallery.com
Solving a Special Quadratic Equation Solve the equation x 2 = 5 7 www.themegallery.com
Solving Another Special Quadratic Equation Solve the equation (x + 3) 2 = 5 8 www.themegallery.com
Completing the Square 9 www.themegallery.com
Solving a Quadratic Equation by Completing the Square Solve x 2 – 5x +3 = 0 10 www.themegallery.com
Clearing an Equation of Fractions Solve the equation 11 www.themegallery.com
Practice Problems Page 91 Problems 1-30 12 www.themegallery.com
10-6 Solving Quadratic Equations by Factoring
7-5 solving quadratic equations
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)
7-3 Solving Equations Using Quadratic Techniques
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
Solving Quadratic Equations Algebraically Lesson 2.2.
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.
9.4 – Solving Quadratic Equations By Completing The Square
Solving Quadratic Equations by Completing the Square
6.5 – Solving Equations with Quadratic Techniques.
Solving Quadratic Equations by Factoring
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
Objectives: Solve equations of the form ax 2 = k. Solve equations of the form ax 2 = k where x is replaced by an algebraic expression. Standard Addressed:
Quadratics Solving equations Using “Completing the Square”
Solving Quadratic Equations by Factoring Terminology Zero Factor Theorem Methods for Solving.
Factoring to Solve Quadratic Equations
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)
8.1.3 How can I factor this? Factoring with Special Cases
Equations Terminology Steps for Solving Examples.
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