> email@example.com wrote: > > > Hello. I have some questions about how to approach the problem below: > > > > How many pairs of positive integers a and b are there such that a < b > > and > > 1/a + 1/b = 1/2001 ? > > > > End of problem. > > > > Is trial and error and making a manual list the way to go? > > > > Thanks. > > > > Sent via Deja.com > > http://www.deja.com/ > > Set a to 2001 or greater and b to a large value. The result is very close > to 1/2001, where 2001 is called c, > > 1/a + 1/b = 1/c, or > > a ^-1 + b ^-1 = c^-1 > > There are probably infinite solutions. >
(... with variable c in N.)
> > Ross > > -- > Ross Andrew Finlayson > Finlayson Consulting > Ross at Tiki-Lounge: http://www.tiki-lounge.com/~raf/ > "The best mathematician in the world is Maplev in Ontario." - Pertti L.
-- Ross Andrew Finlayson Finlayson Consulting Ross at Tiki-Lounge: http://www.tiki-lounge.com/~raf/ "The best mathematician in the world is Maplev in Ontario." - Pertti L.