" (2x-4)/ x - 5/(x+1) , an unorthodox method ?! "

From: Alain Verghote (alainverghote_at_yahoo.fr)
Date: 02/21/05


Date: Mon, 21 Feb 2005 21:37:58 +0000 (UTC)


   Dear Folk,

 Here is a strange solving way:
 We write the cross product:
     (2x -4)*(x+1) = 5 * x (1)
 and (2x -4)*(x+1) = -5 *(-x) (2)
 Pairing factors in (1)
     x+1=5, 2x-4 = x => x = 4
 Pairing factors in (2)
     x+1=-x, 2x-4 = -5 => x =-1/2 ;
 of course we try a 'clever' pairing ,so we avoid
 in (1) pairing x+1 and x .

 Mathemagic or ...

 Alain.