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10-6 Solving Quadratic Equations by Factoring
Zero-Product PropertyStates that if the product of 2 factors is zero, then 1 (or both) of the factors must be 0. If the product ab=0, then a=0 OR b=0.
Solving by factoring Make sure the equation is written in standard form. (ax2+bx+c=0) Factor Set factors each with variables = 0. Solve for x. Check
Examples x2+7x+12 = d2-2d-24=0 n2+4n= a2+18a-10=0 c2+13c= w2-5w=0
Summary of Methods for Solving ax2+bx+c1)Finding square roots 2) Quadratic Formula 3) Factoring Comments 1)Efficient for ax2+c=0 2)Can be used on ANY quadratic 3) Efficient if quadratic can be factored easily
Objective: To solve quadratic equations by completing the square.
10-7 The Quadratic Formula
Quadratics ax2 + bx + c.
5-5: Quadratic Equations
Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!
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 Equations by Factoring
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.
Solving Quadratic Equations by Completing the Square
Chapter 1.4 Quadratic Equations.
Solving Quadratic Equations Section 1.3
3.5 Quadratic Equations OBJ:To solve a quadratic equation by factoring.
Section 10.5 – Page 506 Objectives Use the quadratic formula to find solutions to quadratic equations. Use the quadratic formula to find the zeros of a.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.
5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.
OBJ: To solve a quadratic equation by factoring
OLGT: Solving Quadratic Equations Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. 1.5(x+3) +
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