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Graphing and Writing Linear Functions
SOLVING EQUATIONS INVOLVING RATIONAL EXPONENTS
Linear Equations and Graphing
Systems of Linear Equations
Solving Polynomial Equations
Matrix Equations and Solving Systems of Linear Equations
Introduction Part II and Solving Equations
Linear Algebra
Graphing Linear Inequalities
Using Augmented Matrices to Solve Systems of Linear Equations
Solving Linear Inequalities
Solution of the Equations
Linear Equations
Annotated Bibliography of Linear Algebra Books
Write Linear Equations in Standard Form
Graphing Linear Inequalities
Introduction to Linear Algebra for Engineers
Solving Quadratic Equations
THE HISTORY OF SOLVING QUADRATIC EQUATIONS
Systems of Linear Equations
Review for First Order Differential Equations
Systems of Nonlinear Equations & their solutions
LINEAR LEAST SQUARES FIT MAPPING METHOD FOR INFORMATION RETRIEVAL FROM NATURAL LANGUAGE TEXTS
Quadratic Equations
Syllabus for Differential Equations and Linear Alg
Linear Equations and Matrices
Solving Linear Equations
Slope-intercept form of the equation
Linear Equations
DETAILED SOLUTIONS AND CONCEPTS QUADRATIC EQUATIONS
Linear Equation Problems
Systems of Differential Equations
Linear Algebra Syllabus
Quadratic Equations and Problem Solving
LinearEquations
The Slope-Intercept Form of the Equation
Final Exam for Matrices and Linear Equations
Linear Equations
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Quadratic Equations

Most text books provide a nice proof of the quadratic formula. To derive the two
solutions for any quadratic equation we simply solve by completing the
square. This guide will focus on using the formula to solve problems.

Quadratic Formula: If where a≠0 then
  Solve:  
Step 1: Identify a, b and c.  
Step 2: Write down the formula. Step 3: Plug in the
appropriate values and
evaluate.

The argument of the square root is called the discriminant and can be used to
determine the number and type of solutions to the quadratic equation without doing all
the work to find the actual solutions.

Using the discriminant to determine the types of solutions -
If <0(negative) then there are two nonreal complex solutions
If = 0(zero) then there is one real solution
If>0 If (positive) then there are two real solutions

In the last problem and we got two real solutions.

A. Use the Discriminant to determine the number and type of solutions.

B. Solve using the quadratic formula.

If the discriminant is a perfect square then the quadratic was factorable. In this case, it is
usually faster to solve by factoring and should be done that way unless stated otherwise.

C. Solve using the quadratic formula.