Concept explainers
To determine the value of discriminant and determine the nature of roots of given equation. If the equation is factorable then we have to mention it.
Answer to Problem 2OE
Discriminant is 16
As the discriminant is positive (perfect square) the roots are real, rational and unequal.
Explanation of Solution
Given information :
Given equation
Discriminant of the equation
Discriminant of the equation also helps us to understand the nature of the roots of the equation.
In the given equation we compare it with
As the discriminant is positive and perfect square hence the roots are real, rational and unequal.
If the discriminant of the equation is a perfect square then the equation can be solved by factoring. In this case it is a perfect square so it can be solve using factors.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Introductory and Intermediate Algebra for College Students (5th Edition)
College Algebra (7th Edition)
Graphical Approach To College Algebra
College Algebra (5th Edition)
Intermediate Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education