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Topic: Pell type equations
Replies: 29   Last Post: Apr 29, 2012 5:37 PM

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amzoti

Posts: 1,084
Registered: 3/6/07
Re: Pell type equations
Posted: Apr 26, 2012 5:09 PM
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On Thursday, April 26, 2012 11:12:23 AM UTC-7, Terry M wrote:
> Hi,
>
> 5x^2 + 20 = y^2
>
> I can get valid integer values for x and y using brute force (1, 5), (4,
> 10), (11, 25) etc.
>
> I've been going through the work on this page...
>
> http://www-history.mcs.st-andrews.ac.uk/HistTopics/Pell.html
>
> which covers the work of Brahmagupta and Bhaskara II on Pell type equations.
> I can't seem to figure if this is any use for calculating integer roots for
> the above equation.
>
> Any help would be greatly appreciated.


http://www.wolframalpha.com/input/?i=integer+solutions+5x%5E2+%2B+20+%3D+y%5E2+




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