Show that if n2 + 1 is a perfect square, where n is an integer, then n is even.
In this problem, we have to show that if n2 + 1 is a perfect square, where n is an integer, then n is even.
In the given problem we assume that n is an integer
If n2 + 1 is perfect square then we can say that it is a positive integer.
So we can write: n2 + 1=x2 form only even number ()
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
Since the solution to 7E from 4.SE chapter was answered, more than 238 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “Show that if n2 + 1 is a perfect square, where n is an integer, then n is even.” is broken down into a number of easy to follow steps, and 19 words. This full solution covers the following key subjects: Even, Integer, perfect, show, square. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 7E from chapter: 4.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM.