perplexus.info :: Just Math : Find additional pairs

Find additional pairs (Posted on 2016-08-08)

The pair of positive integers (4,6) satisfies the equation

(2x+1)*x=y^2

Find at least three additional pairs, both x and y below 10^6.

Submitted by Ady TZIDON

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Solution: (Hide)

3 pairs: (144,204), 4900,69360), (166464,235416). Result obtained by solving Pell's equation.

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

Subject	Author	Date
General solution	broll	2016-08-09 07:18:39
Pell Solution	Brian Smith	2016-08-09 00:11:46
re: computer solution	Charlie	2016-08-08 22:19:57
computer solution	Charlie	2016-08-08 22:12:14
spoiler	xdog	2016-08-08 14:09:21

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