Timeline for infinite solution of a diophantine quadratic equations
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 25, 2015 at 8:14 | comment | added | individ | For the equation. $$ax^2+bxy+cxz+dyz-x=0$$ We will set the number $p$ . And then select $s$ so that the fraction was an integer. And then Your formula can be written in General form. $$x=-dp$$ $$y=cp+s$$ $$z=p(b+\frac{(bc-ad)p-1}{s})$$ | |
| Oct 25, 2015 at 7:32 | comment | added | joaopa | @joro. OK. No problem though. | |
| Oct 25, 2015 at 7:22 | comment | added | joro | @joaopa Have in mind almost surely the first parametrization is not complete. | |
| Oct 25, 2015 at 7:10 | vote | accept | joaopa | ||
| Oct 25, 2015 at 6:51 | comment | added | joro | @joaopa I think there is at for the first case. Substituting the parametrization, we must have $d$ divides expression depending on $k$. Solve it modulo $d$ and if it has solution, there will be infinitely many. | |
| Oct 25, 2015 at 6:46 | comment | added | joaopa | This answer is useful. Is there infinite solution such that $x$ divdes $yz$? | |
| Oct 25, 2015 at 5:43 | comment | added | joro | @individ Can't you reproduce these are parametrizations? | |
| Oct 25, 2015 at 5:38 | comment | added | individ | Funny! This answer is a joke probably? | |
| Oct 25, 2015 at 5:00 | history | answered | joro | CC BY-SA 3.0 |