If x and y are positive integers, L: LCM of x and y, G: GCD of x and y, then solve the following equations for x and y values:
1) x^y=L^G, L>x.
2) x²+y² = L²+G², L>x>G.

Part I:

(x, y, L, G) = (2, 4, 4, 2).

Edited on December 23, 2007, 6:48 am

Posted by K Sengupta on 2007-12-23 06:44:30