perplexus.info :: Numbers : Consider the Value, Get Solution

Consider the Value, Get Solution (Posted on 2023-09-24)

Determine the only possible integer value of N, such that each of:

8N³-20, and 2N⁵-2

is a perfect square.

Prove that no further value of N satisfies the given conditions.

**** Computer program/ excel solver assisted solutions are welcome, but a semi-analytic - namely, p&p and hand calculator based methodology is preferred.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The only possible integer value of N is 3.
For an explanation, refer to the solution submitted by broll in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
From a list	broll	2023-09-24 23:00:53
answer -- no proof	Charlie	2023-09-24 12:51:36

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