June 6th, 2012, 06:12 PM  #1 
Member Joined: May 2012 Posts: 86 Thanks: 0  Equation...
Find all groups of three real numbers (x,y,z), such that (x1)/y = (y1)/z = (z1)/x 
June 6th, 2012, 11:35 PM  #2 
Member Joined: May 2012 From: Chennai,India Posts: 67 Thanks: 0  Re: Equation... 
June 7th, 2012, 02:38 PM  #3  
Global Moderator Joined: May 2007 Posts: 6,730 Thanks: 689  Re: Equation... Quote:
Are there solutions where they are not all equal.  
June 7th, 2012, 02:48 PM  #4  
Senior Member Joined: Apr 2010 Posts: 215 Thanks: 0  Re: Equation... Quote:
If we assume x<y<=z or x<=y<z or x<y<z; then which is impossible since both are equal to m. The only remaining alternative is x=y=z, which obviously holds.  

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