Results 1 to 2 of 2

Math Help - Prove that the equation...?

  1. #1
    Super Member fardeen_gen's Avatar
    Joined
    Jun 2008
    Posts
    539

    Prove that the equation...?

    Prove that the equation x/y + y/z + z/x = 1 has no solutions in positive integers x, y, z.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,
    Quote Originally Posted by fardeen_gen View Post
    Prove that the equation x/y + y/z + z/x = 1 has no solutions in positive integers x, y, z.
    Since x,y & z are positive, x/y, y/z & z/x are positive.
    Therefore, 0<x/y<1 , 0<y/z<1 , 0<z/x<1
    x/y<1 --> x<y
    y/z<1 --> y<z --> x<y<z --> x<z --> z/x>1, which is a contradiction !

    Got it ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove The Equation
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: May 29th 2010, 07:57 PM
  2. prove lim equation
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 4th 2009, 02:41 AM
  3. Prove the x-coordinate of this equation.
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 28th 2009, 09:39 PM
  4. Prove equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 18th 2009, 05:08 PM
  5. Prove this function equation
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: February 27th 2009, 05:25 AM

Search Tags


/mathhelpforum @mathhelpforum