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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1774.0. "solution for simult. eqn." by AKOCOA::ATANU () Wed Jul 14 1993 21:28

    
    
    Could anybody let me know a solution to this equation :
    
    	X^X + Y^Y = 31
    	X^Y + Y^X = 17
    
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1774.1X=2, Y=3WRKSYS::ARUMUGHAMWed Jul 14 1993 23:058
    > Could anybody let me know a solution to this equation:
    > X^X + Y^Y = 31
    > X^Y + Y^X = 17
    
    X = 2, Y = 3
    
    2^2 + 3^3 = 31
    2^3 + 3^2 = 17
1774.2Any analytical approach to soln. ?AKOCOA::ATANUSat Jul 24 1993 07:082
    Is there an analytical way of solving this equation ? Numerical methods
    if any are also welcome