drosser
Jun4-07, 10:58 AM
Is there a quick way to find integer values of x that give integer values for y?
(x^2-R)/(P-2x)=y
sqrt(R) rounded down<x<P/2
an equivalent equation is
x^2+Px+R=y y= a perfect square
sqrt(x^2+Px+R)= integer
P and R are integer values. They are very large.
P=1.7209016645882089776327516069301145278828713497 07453690712637328347852193783039275682367157744911 327176901e+106
R=1.6119665556441677796635036627385018072266516619 42209780569274299995114404468640924608971613224013 135298666e+105
Maybe a generalized equation or a program?
(x^2-R)/(P-2x)=y
sqrt(R) rounded down<x<P/2
an equivalent equation is
x^2+Px+R=y y= a perfect square
sqrt(x^2+Px+R)= integer
P and R are integer values. They are very large.
P=1.7209016645882089776327516069301145278828713497 07453690712637328347852193783039275682367157744911 327176901e+106
R=1.6119665556441677796635036627385018072266516619 42209780569274299995114404468640924608971613224013 135298666e+105
Maybe a generalized equation or a program?