perplexus.info :: Just Math : Quadratic Expressions, Perfect Square Not

Quadratic Expressions, Perfect Square Not (Posted on 2010-01-03)

Prove that there cannot exist any positive integer x, such that each of 2x² + 1, 3x² + 1 and 6x² + 1 is a perfect square.

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

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re: Solution

Comment 6 of 6 |

(In reply to Solution by Praneeth)

Well done Praneeth. Very neat. This one's been bothering me for ages.

I wonder if the first two equations (without the third) have any solutions ??

Posted by Harry on 2010-01-13 17:11:01

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