perplexus.info :: Just Math : Some Lengths May Parallel X-axis

Some Lengths May Parallel X-axis (Posted on 2023-07-09)

Let F(x) be a polynomial with integer coefficients.

There are two distinct points on the graph of F, say P and Q, with integer coordinates.

If the length of PQ is an integer, then will PQ always be parallel to the x-axis?

If so, prove it.
If not, provide an example.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

If the length of PQ is an integer, then PQ will always be parallel to the x-axis.
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
re(2): Seems unlikely - Solution	Brian Smith	2023-07-10 10:32:50
re: Seems unlikely	Jer	2023-07-10 08:58:37
Seems unlikely	broll	2023-07-10 06:15:43

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