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Prove or disprove the following: There exist distinct positive integers a and b such

Chapter 3, Problem 14

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QUESTION:

Prove or disprove the following: There exist distinct positive integers a and b such that a b + 3b a is an integer.

Questions & Answers

QUESTION:

Prove or disprove the following: There exist distinct positive integers a and b such that a b + 3b a is an integer.

ANSWER:

Problem 14

Prove or disprove the following:

There exist distinct positive integers  and  such that is also an integer.

                                                              Step by Step Solution

Step 1 of 4

Given that  and  are positive integers.

Let the given expression be denoted as,

To Prove:  is an integer if  and  both are positive integers.

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