" (2x-4)/ x - 5/(x+1) , an unorthodox method ?! "
From: Alain Verghote (alainverghote_at_yahoo.fr)
Date: 02/21/05
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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.
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