Results 1 to 2 of 2

Thread: x+xy and y+xy are perfect square, prove that x or y is perfect square.

  1. July 21st 2010, 01:39 PM #1
    amin
    amin is offline
    Newbie
    Joined
    Jul 2010
    Posts
    1

    x+xy and y+xy are perfect square, prove that x or y is perfect square.

    Hi,
    i have a problem and i couldn't solve it. help me plz:
    if x+xy and y+xy are perfect square, then prove that:
    x or y is perfect square

    for positive integers...
    Last edited by mr fantastic; July 22nd 2010 at 04:51 AM. Reason: Merged posts, re-titled.
    Follow Math Help Forum on Facebook and Google+
  2. July 21st 2010, 02:24 PM #2
    chiph588@
    chiph588@ is offline
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
    From
    Champaign, Illinois
    Posts
    1,163
    See here.
    Follow Math Help Forum on Facebook and Google+
« What is the basic method for proving the irrationality of a number? | Proving the binomial coeficient is always a natural number? »

Similar Math Help Forum Discussions

  1. perfect square trinomial/square of binomial
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 3rd 2011, 04:02 PM
  2. I need to prove that a term of a certain form cannot be a perfect square.
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: October 8th 2010, 05:37 AM
  3. Perfect square
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: September 13th 2009, 08:34 AM
  4. Perfect Square
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 24th 2009, 07:16 AM
  5. elem. # theo - "prove never perfect square"
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: September 23rd 2008, 07:54 PM

Search Tags


/mathhelpforum @mathhelpforum