Doth this help?
Suppose n is a fixed integer not equal to 0 and d is a positive integer not a perfect square, and suppose
where . Let , where a>0, b>0 provides a solution to the Fermat-Pell equation, . Show that
Conclude that the equation either has no solutions or infinitely many solutions.
I do know that the problem is similar to http://www.mathhelpforum.com/math-he...od-ascent.html, but I did not understand something in that thread. How did TPH go from to
okay, so in finding another example and then rereading what was here and in the book, I see that those are pretty much just formulas. I was looking for more than that, like you had gotten those from the problem itself somehow but now I see it is just a fomula to be used.
Then back to the problem in my original post. I keep wanting to show the formula simply by substituing in the given formula values and am unsure of whether or not it is that simple or I need to show it in another way. Ideas? Hints? Blatant spoilers?
I am in the same boat. This class was super easy until this section and then the author just stopped writing. The questions are nothing like the examples. Did you survive the course?
If anyone out there has a solution to this proof please post.