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# Show that if n2 + 1 is a perfect square, where n is an ISBN: 9780073383095 37

## Solution for problem 7E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Problem 7E

Show that if n2 + 1 is a perfect square, where n is an integer, then n is even.

Step-by-Step Solution:

Step 1:

In this problem, we have to show that if n2 + 1 is a perfect square, where n is an integer, then n is even.

Step 2:

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 ( )

Step 3 of 3

##### ISBN: 9780073383095

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.

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