Posted by Soroban on September 11, 2002 at 23:20:29:
In Reply to: Question, Mr S posted by Denis Borris on September 11, 2002 at 18:15:52:
: B is greater than A; so let X = B - A; then:
: 2A(A + 1) = (A + X)(A + X + 1)
: leads to:
: A = [sqrt(8X^2 + 1) + 2X - 1] / 2
: I know it's just another way to manipulate, but does it
: indicate a Pell equation in an easier "way"?
Yes, it does, Dennis.
I had solved for B as well, and had 8A^2 + 8A + 1 under the radical.
Thought I'd picked the more efficient form for the solution-search.
Your radicand is much better.
Another eye-opener ~ I hadn't considered the difference of A and B.
Thanks!