Results 1 to 4 of 4

Math Help - proof for equation with no solution

  1. #1
    Member
    Joined
    Sep 2011
    Posts
    149

    proof for equation with no solution

    How to prove that there is no solution for this equation in natural numbers:

    Follow Math Help Forum on Facebook and Google+

  2. #2
    mfb
    mfb is offline
    Junior Member
    Joined
    Jun 2012
    From
    Germany
    Posts
    72
    Thanks
    5

    Re: proof for equation with no solution

    Did you check the equation mod 2, 3, 5? There, you can analyse all cases, and maybe no case can satisfy the equation - in this case, it is impossible to satisfy your equation.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2011
    Posts
    149

    Re: proof for equation with no solution

    What if i take mod 3 ,how is that show that there is no solution ?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: proof for equation with no solution

    Mod 3 doesn't help, because the LHS is 1 (mod 3) and k^3 can also be congruent to 1 (mod 3).

    However, mod 9 gives a nice solution. Try using mod 9.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: March 14th 2012, 07:21 AM
  2. ODE Proof: Solution to this will always exist?
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: October 10th 2010, 05:33 AM
  3. Replies: 2
    Last Post: May 18th 2009, 12:51 PM
  4. Proof ax=0 has a non-zero solution in (modn)
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 24th 2009, 12:12 PM
  5. solution please...can anyone show the proof...
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: July 19th 2006, 07:12 PM

Search Tags


/mathhelpforum @mathhelpforum