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#401 2017-03-04 21:20:53

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

http://math.stackexchange.com/questions … rfect-squa

For odd numbers.

Decompose the number into factors. 

The solution can be written as.

It is seen that for all odd numbers are infinitely many solutions, not just

.

Last edited by individ (2017-03-04 21:21:45)

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#402 2017-03-15 19:35:45

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

http://math.stackexchange.com/questions … te-integer

For the equation.

You can write such a parameterization.

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#403 2017-04-02 00:52:55

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

http://math.stackexchange.com/questions … 24#2214424

For the solution of the equation. 

You must use the solutions of the equation. 

You can use solutions which are recorded in the subject.  http://math.stackexchange.com/questions … 219#709219

Then using the solutions of this equation can be substituted into the formula and find us.

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#404 2017-04-16 20:06:27

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

https://math.stackexchange.com/question … e-equation

For the solution of the equation.

Solution we write expanding on the multipliers.

And
;

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#405 2017-04-20 05:14:13

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

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#406 2017-05-14 05:41:16

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

https://math.stackexchange.com/question … 01#2280801

Spread by multipliers... 

Decisions can be recorded.

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#407 2017-05-20 01:53:43

NakulG
Member
Registered: 2014-09-02
Posts: 171

Re: Formulas for the solution of Diophantine equations.

Hi can you suggest a good charting software, i am trying to plot conic section, intersection of cylindrical cones and a plane. If you can suggest a good charting software that would be great. I tried Asymptote and geogebra... not working out for me.
thanks

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#408 2017-05-20 02:08:47

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

NakulG wrote:

Hi can you suggest a good charting software, i am trying to plot conic section, intersection of cylindrical cones and a plane. If you can suggest a good charting software that would be great. I tried Asymptote and geogebra... not working out for me.
thanks

Do not write the question here! If you need to open a separate topic. There can be about a specific equation to tell.
I solve the equation. Programs do not write.
Build a curve at the intersection of two surfaces of a standard task. What is the program?

If you need to find the integral points. Formulate problem as a system of nonlinear equations. Then it will try to solve it.

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#409 2017-05-26 20:52:06

individ
Member
Registered: 2014-03-16
Posts: 300

Re: Formulas for the solution of Diophantine equations.

https://math.stackexchange.com/question … m3n3-holds

For the equation.

We use the solutions of the equation Pell.

Then the solution can write.

And again.

All the numbers can have any sign.

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