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MTH 095 Intermediate Algebra Chapter 10 Complex Numbers and Quadratic Equations Section 10.4 Equations Quadratic in Form and Applications Copyright © 2011 by Ron Wallace, all rights reserved.
Equations in Quadratic Form Whatever is here.Is squared over here. … and a, b, & c are numbers. So to solve … use the quadratic formula … This will then require solving two other equations because ??? is not just x.
Equations in Quadratic Form Example 1 of 5
Equations in Quadratic Form Example 2 of 5
Equations in Quadratic Form Example 3 of 5 Note: You could simplify left side first … try it!
Equations in Quadratic Form Example 4 of 5
Equations in Quadratic Form Example 5 of 5 Hint: A square root cannot be negative.
Chapter 5 Section 4: Complex Numbers. VOCABULARY Not all quadratics have real- number solutions. For instance, x 2 = -1 has no real-number solutions because.
MTH 065 Elementary Algebra II
MTH 065 Elementary Algebra II Chapter 11 Quadratic Functions and Equations Section 11.0 Square Roots (An Introduction to Chapter 11)
MTH 252 Integral Calculus Chapter 8 – Principles of Integral Evaluation Section 8.5 – Integrating Rational Functions by Partial Fractions Copyright © 2006.
MTH 095 Intermediate Algebra Chapter 10 Complex Numbers and Quadratic Equations Section 10.1 Complex Numbers Copyright © 2011 by Ron Wallace, all rights.
MTH 095 Intermediate Algebra Chapter 10 Complex Numbers and Quadratic Equations Section 10.3 Quadratic Equations: The Quadratic Formula Copyright © 2011.
If b2 = a, then b is a square root of a.
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
9.4 – Solving Quadratic Equations By Completing The Square
Section 8.1 Completing the Square. Factoring Before today the only way we had for solving quadratics was to factor. x 2 - 2x - 15 = 0 (x + 3)(x - 5) =
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations (finding roots) Example f(x) = x By Graphing Identifying Solutions Solutions are -2 and 2.
ALGEBRA 1 REVIEW FACTORING/EXPONENTS Chapter 1 Section 3.
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6-4 Completing the Square Objective: Students will be able to solve quadratic equations by completing the square.
Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Completing the Square.
DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)
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