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-   -   X^y+y^x=1000 (https://www.askmehelpdesk.com/showthread.php?t=471390)

  • May 17, 2010, 02:33 PM
    Sabzar
    x^y+y^x=1000
    what is the value of x and y in the equation x^y+y^x=1000
  • May 17, 2010, 05:00 PM
    galactus

    Does x and y have to be integers?

    If not, there are lots of things that'll work.

    Try x=3 and y=6.05873840666 :)
  • May 18, 2010, 01:55 AM
    Sabzar
    Quote:

    Originally Posted by galactus View Post
    Does x and y have to be integers?.

    If not, there are lots of things that'll work.

    Try x=3 and y=6.05873840666 :)

    both X and y are integers
  • May 18, 2010, 01:58 AM
    Sabzar
    Quote:

    Originally Posted by Sabzar View Post
    both X and y are integers

    I think x=1 and y=999
    or y=999 or x=1

    1^999+999^1
    1+999=1000
    is there any another integer values of x and y
  • May 18, 2010, 01:59 AM
    Sabzar
    Quote:

    Originally Posted by Sabzar View Post
    i think x=1 and y=999
    or y=999 and x=1

    1^999+999^1
    1+999=1000
    is there any another integer values of x and y

    Thank u
  • May 18, 2010, 08:00 AM
    ebaines
    Quote:

    Originally Posted by Sabzar View Post
    i think x=1 and y=999
    or y=999 or x=1

    1^999+999^1
    1+999=1000
    is there any another integer values of x and y

    Good answer - and I believe it is the only solution for integer values of x and y.
  • May 18, 2010, 11:41 AM
    Sabzar
    Quote:

    Originally Posted by ebaines View Post
    Good answer - and I believe it is the only solution for integer values of x and y.

    Thank u Ebaines

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