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Find additional pairs (Posted on 2016-08-08) Difficulty: 3 of 5
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.

See The Solution Submitted by Ady TZIDON    
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re: computer solution | Comment 3 of 5 |
(In reply to computer solution by Charlie)

also


x=192099600, y= 271669860 works, with the lhs and rhs both =

73804512032419600

(found by extending the search in the VB program, and weeding out two false solutions that were due to precision problems, by checking the answers with UBASIC).

  Posted by Charlie on 2016-08-08 22:19:57
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