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lvl10720-Turquoise
20-Turquoise
December 12, 2012
Solved

Equation Solving.

  • December 12, 2012
  • 3 replies
  • 2964 views

Hello, Everyone.

Solve+X%2CY%2CZ.PNG

Regards.

Best answer by Werner_E

Did you look at Valerys post? It seems that Mathcad is not good at solving diophantic equations and so all I can think of is to try it with brute force like Valery had shown. Look at the attached. It seems that there are quite some solutions for X=100. Calculation time quickly grows if you increase the endvalues for X and Y (the parameters of the function Sol). As you can see in the screenshotmy machine is rather slow 😉 So good luck and patience.

WE

dioph.png

3 replies

V
24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
December 12, 2012

It is one solution in/for Mathcad - in/for an engeneering office Or you would like to have one integer solution!?

XYZ.png

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Werner_E25-Diamond I
25-Diamond I
December 12, 2012

One set of integer solution seems to be 7722793 / 197 / 1 for X / Y / Z.

But Mathcad's Find seems not to be able to find it using constraints like X=trunc(X), etc.

12.12_1.png

Strange effect with symbolic evaluation without guess values. Why does MC solve for Y?

12.12_2.png

L
lvl10720-TurquoiseAuthor
20-Turquoise
December 13, 2012

Many thanks for your help, Werner and Valery. And I have a related question :

Integer+solution.PNG

Regards.

V
24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
December 13, 2012

One more simple integer task for some meditation:

100.png

L
lvl10720-TurquoiseAuthor
20-Turquoise
December 16, 2012

Hello again, and I have a related question :

Equation+2.PNG

and with my solution ( attachment ) is still a cheating-guess way. And I really need help with another way.

Regards.

W
Werner_E25-Diamond IAnswer
25-Diamond I
December 16, 2012

Did you look at Valerys post? It seems that Mathcad is not good at solving diophantic equations and so all I can think of is to try it with brute force like Valery had shown. Look at the attached. It seems that there are quite some solutions for X=100. Calculation time quickly grows if you increase the endvalues for X and Y (the parameters of the function Sol). As you can see in the screenshotmy machine is rather slow 😉 So good luck and patience.

WE

dioph.png

V
24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
December 17, 2012

Werner Exinger wrote:

Did you look at Valerys post?

Do you know than a+b sometime is not equel b+a - in Numeric and symbolic Math

See please http://communities.ptc.com/groups/mathcad-paradoxes

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