Results 1 to 2 of 2

Math Help - Find a and b satisfying the equation..

  1. #1
    Member
    Joined
    Mar 2008
    From
    ???
    Posts
    171

    Find a and b satisfying the equation..

    let , c = b^2

    now, finde natural numbers a and b which satisfies

    a^c = b^a

    ...

    This is what i did, I factoried a and b in terms of their HCF and a coprime number to g4t

    a = n*p
    b=n*q

    Then after substituting in te above equation I got an expression, then I took 2 cases, where either the exponents of a and b are equal OR exponent of a > b's

    thsat is
    either b^2 = a

    or b^2 > a
    ==> b^2 = a*n
    ==> b is the GM of a and n ( for any n element N and a also element N )

    so one pair of soluton is a = b = 1 ..

    I cant get teh others guesssing seems like abad idea even after getting b = (an)^1/2

    please help, thnks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Mar 2008
    From
    ???
    Posts
    171
    guys... It's high time that I get an answer... atleast say that you're working on it..
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find all values of z satisfying...
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: June 1st 2011, 09:18 PM
  2. Replies: 7
    Last Post: March 15th 2011, 04:42 AM
  3. Find all functions satisfying the functional equation
    Posted in the Advanced Math Topics Forum
    Replies: 5
    Last Post: December 8th 2010, 03:15 PM
  4. Replies: 3
    Last Post: February 3rd 2010, 05:29 AM
  5. Replies: 1
    Last Post: February 2nd 2010, 10:32 AM

Search Tags


/mathhelpforum @mathhelpforum