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ttokoro
ttokoro21-Topaz I
21-Topaz I
March 28, 2021
Question

How to solve the equation?

All numbers are natural numbers. (Integer of n>0).

How to solve the equation? Prime 7 can not solve the answers.

image.png

The answers are 

 image.pngimage.png

6 replies

Werner_E
Werner_E25-Diamond I
25-Diamond I
March 28, 2021

Mathcad never was the tool to solve diophantic equations (apart from an extension pack which worked only in a very early version of MC).
You get a result in MC15 but its in no way helpful:

Werner_E_0-1616903662570.png

Maybe Luc can show us what MC11 with Maple can come up with

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    -MFra-21-Topaz II
    21-Topaz II
    March 28, 2021

    ttokoroanswer 1.jpg

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    ttokoro
    ttokoro21-Topaz IAuthor
    21-Topaz I
    March 28, 2021

    image.png

    n and k are integer and n>0.

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    t.t.
    -MFra-21-Topaz II
    21-Topaz II
    March 28, 2021

    I got distracted. It is a Diophantine equation.  See on Wikipedia.

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      LucMeekes23-Emerald IV
      23-Emerald IV
      March 28, 2021

      Mathcad 11/Maple:

      LucMeekes_0-1616930068616.png

      and with

      LucMeekes_1-1616930209402.png

      you get only the first answer.

       

      Success!

      Luc

       

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        Fred_Kohlhepp23-Emerald I
        23-Emerald I
        March 28, 2021

        Well, you can find the answer, but it's not really "solving"  . . . 

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