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: 6,822 Thanks: 723  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.  

Tags 
equation 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Show that an equation satisfies a differential equation  PhizKid  Differential Equations  0  February 24th, 2013 10:30 AM 
simplify equation to get a quadratic equation  mich89  Algebra  3  January 9th, 2013 01:22 PM 
Tangent equation of a tricky equation  xujack88  Calculus  8  December 11th, 2009 07:04 PM 