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OpenStudy (anonymous):
\[x ^{2} - 92y ^{2} =1\]
OpenStudy (anonymous):
1 is already solved for
OpenStudy (anonymous):
you can't solve it since there's to unknowns and only one equation
OpenStudy (amistre64):
its hyperbolic right?
OpenStudy (anonymous):
\[y =\pm \sqrt{x^2 -1} / (2 \sqrt{23})\]
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OpenStudy (anonymous):
i want the ordered pair (x,y)
OpenStudy (amistre64):
"the" ordered pair?
OpenStudy (anonymous):
do you mean a parametrized equation?
OpenStudy (amistre64):
(1,0) is an ordered pair solution :)
OpenStudy (anonymous):
i read this in the autobiography of the great legendary indian mathematician brahamagupta........he also wrote that the one who can solve this within a YEAR is a mathematician!!!
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OpenStudy (anonymous):
that's great
OpenStudy (anonymous):
that might have been true but, contemporary mathematician are standing on the shoulders of giants.And we being students are in the same,head start ,position.
OpenStudy (anonymous):
That's probably Diophantine equation. He's looking for integer solutions, not any solution.
OpenStudy (anonymous):
It's called Pell's equation. The problem is finding any integer solution that is not (1, 0) (which is the trivial solution).