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How to solve the equation?

ttokoro
17-Peridot

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 6
Werner_E
24-Ruby IV
(To:ttokoro)

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

-MFra-
21-Topaz I
(To:ttokoro)

ttokoroanswer 1.jpg

ttokoro
17-Peridot
(To:-MFra-)

image.png

n and k are integer and n>0.

-MFra-
21-Topaz I
(To:ttokoro)

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

LucMeekes
23-Emerald I
(To:ttokoro)

Mathcad 11/Maple:

LucMeekes_0-1616930068616.png

and with

LucMeekes_1-1616930209402.png

you get only the first answer.

 

Success!

Luc

 

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

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