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Math Help - Equation with FIVE VARIABLES!!

  1. #1
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    Goyang, South Korea
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    Equation with FIVE VARIABLES?

    Hi. I've been practicing solving equations these days and today, I found this problem. Here it is.


    Solve this equation. (a, b, c, d, e are all natural numbers)

    abcde-a=357^{400}
    abcde-b=359^{410}
    abcde-c=361^{420}
    abcde-d=363^{430}
    abcde-e=365^{440}


    Well, I can solve an equation with two or three variables but
    what should I do if the number of variables are more than three?
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  2. #2
    Super Member Quacky's Avatar
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    Nov 2009
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    Windsor, South-East England
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    I would expect that any of the normal elimination or substitution methods can be applied. However, I would expect that whatever the method is involving matrices will be much faster.
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