Colleen Cooper
Solving Quadratic Equations
MAT 126 Survey of Mathematical Methods
Instructor: Kussiy Alyass
October 1,, 2012

Solving Quadratic Equations
Using correct methods to solve quadratic equations can make math an interesting task. In the paper below I will square the coefficient of the x term, yield composite numbers, move a constant term and see if prime numbers occur. I will use the text and the correct formulas to create the proper solutions of the two projects that are required and solve for the equations... In project one, I will move the constant term to the right side of the equation and square the coefficient of the original x term and add it to both sides of the equation. Solve for project one: Part A

X2 – 2x – 13 = 0.
4x*4 + 8 = 52
4x*4 + 8 +16 = 52 + 16
4x*4 + 8 + 16 = 68
2x + 4 = 12 2x + 12 + -12
2x = 4 2x = -6
X = 2 x = -3
Part C.
X2 + 12x – 64 + 0
4xsquared + 12x = 64 – 4 squared
16 + 48 = 64 – 16
64 = 48 + 4x squared
In project two, I will substitute numbers for x to see if prime numbers occur and then try to find a number for x when substituted in the formula, yields a composite number. Project 2, Part A.
X2 – x + 41
8 x 8 + 41= 105 not a prime number
3 x 3 + 41 = 50 not a prime number
7 x 7 + 41 = 90 not a prime number
2 x 2 + 41 = 46 not a prime number
6 x 6 + 41 = 87 Prime number
In the work of this paper I was able to move the coefficient, yield composite numbers, move a constant term and see if prime numbers occur. I used the correct formulas and created the right solution for the two projects that I was required to do. Also, while doing these projects I learned about coefficients and quadratic equations and was able to understand math a little better. As far as applying this knowledge of math, I cannot come up with a situation where it will be used. I believe that one day it will be used during my life, but I just have not recognized when and where it will...

...Quadraticequation
In elementary algebra, a quadraticequation (from the Latin quadratus for "square") is any equation having the form
where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the...

...Summer 2010-3 CLASS NOTES CHAPTER 1
Section 1.1: Linear Equations
Learning Objectives:
1. Solve a linear equation
2. Solve equations that lead to linear equations
3. Solve applied problems involving linear equations
Examples:
1. [pic]
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3. A total of $51,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in...

...Jaquavia Jacques
Ms. Cordell
1st period
December 9, 2014
Quadratics is used to help to determine what is on a graph. There are many formulas that are used to put points on a graph to create parabolas. Parabolas are “U” shaped figures on a graph. Parabolas are examples of quadratics on a graph. Parabolas can be positioned up or down, which means if the arrows are going up it has a minimum point, and if the arrows are going down that means it has a maximum point....

...Ascertaining Mathematics With Equations
Jesse J. Oliver Jr.
Mathematics 126: Survey of Mathematical Methods
Professor Matthew Fife
Thursday, January 24, 2013
Ascertaining Mathematics With Equations
The abstract science of a number, quantity and space that can be studied in its very own right or as it may be applied to other disciplines and subject matters in several aspects, one considers to be that of mathematics. The problem of testing a given number...

...A quadraticequation is an equation that has a second-degree term and no higher terms. A second-degree term is a variable raised to the second power, like x2. When you graph a quadraticequation, you get a parabola, and the solutions to the quadraticequation represent where the parabola crosses the x-axis.
A quadraticequation can be written in the form:...

...• A quadratic function (f) is a function that has the form as f(x) = ax2 + bx + c where a, b and c are real numbers and a not equal to zero (or a ≠ 0). • The graph of the quadratic function is called a parabola. It is a "U" or “n” shaped curve that may open up or down depending on the sign of coefficient a. Any equation that has 2 as the largest exponent of x is a quadratic function.
☺Forms of Quadratic functions:
*...

...While the ultimate goal is the same, to determine the value(s) that hold true for the equation, solvingquadraticequations requires much more than simply isolating the variable, as is required in solving linear equations. This piece will outline the different types of quadraticequations, strategies for solving each type, as well as other methods of solutions such as...

...329
QuadraticEquations
Chapter-15
QuadraticEquations
Important Definitions and Related Concepts
1. QuadraticEquation
If p(x) is a quadratic polynomial, then p(x) = 0 is called
a quadraticequation. The general formula of a quadraticequation is ax 2 + bx + c = 0; where a, b, c are real
numbers and a 0. For example, x2 – 6x + 4 = 0 is...