Consider three positive integers x< y< z in Harmonic Sequence
Determine all possible values of the positive integer constant S for which the equation 15x + Sy = 15z admits of valid solutions.
(In reply to Partly solved
For your expression of S, S^2 + 15^2 is the square of an expression:
(30ab/(a^2 - b^2))^2 + 15^2
= 15^2( 2ab/(a^2-b^2) + 15^2
Edited on March 29, 2007, 12:56 pm