Concept explainers
To find: The three smallest consecutive integers that satisfies the given condition.
Answer to Problem 22P
The three smallest consecutive integers are
Explanation of Solution
Given:
The difference of the squares of the middle integer and the least integer exceeds the largest integer by more than three.
So the middle integer is
And the largest integer is
So the inequality equation of the given condition that is, the difference of the squares of the middle integer and the least integer exceeds the largest integer by more than three, is given as:
Solve the inequality
As
So the smallest integer is
Therefore, the three smallest consecutive integers are
Chapter 10 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
Thinking Mathematically (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
A First Course in Probability (10th Edition)
Elementary Statistics (13th Edition)
Pre-Algebra Student 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