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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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spoiler | Comment 1 of 5
Both factors will be squares which leads to x=a^2 and 2*a^2 +1=b^2, with solutions (144,204), 4900,69360), (166464,235416).
  Posted by xdog on 2016-08-08 14:09:21
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