My Math Forum is it solvable ?

 Algebra Pre-Algebra and Basic Algebra Math Forum

 March 4th, 2011, 02:13 AM #1 Senior Member   Joined: Jul 2010 Posts: 103 Thanks: 0 is it solvable ? what is the answer of this equation: $\frac{x^p-[x^p]}{x-[x]}=1$ $p\in R$ you may solve this for example for the constant power where: $p=sqrt(2)$
 March 11th, 2011, 06:59 PM #2 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 What is the definition of [x]?
 March 12th, 2011, 04:27 PM #3 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: is it solvable ? Greatest integer <= x, I imagine.
 March 12th, 2011, 05:09 PM #4 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 Okay, thanks.
 August 31st, 2011, 10:51 AM #5 Senior Member   Joined: Jul 2010 Posts: 103 Thanks: 0 Re: is it solvable ? I think I found the solutions! or at least some of the solutions thank you all!
 September 11th, 2011, 05:41 PM #6 Global Moderator   Joined: Dec 2006 Posts: 19,542 Thanks: 1751 What solutions did you find?
 September 15th, 2011, 05:50 AM #7 Newbie   Joined: Sep 2011 Posts: 20 Thanks: 0 Re: is it solvable ? some of the solutions found using a special numerical analyzing
 September 15th, 2011, 05:52 AM #8 Newbie   Joined: Sep 2011 Posts: 20 Thanks: 0 Re: is it solvable ? for example $p=2 , x=\frac{(sqrt(5)+1)}{2}$
 September 15th, 2011, 07:07 AM #9 Global Moderator   Joined: Dec 2006 Posts: 19,542 Thanks: 1751 The various solutions, such as p = ?2, x = 2.3520936..., mostly need to be given approximately.

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