Posted by Denis Borris on September 12, 2002 at 04:44:20:
In Reply to: Re: Question, Mr S posted by Soroban on September 11, 2002 at 23:20:29:
: : 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!