Rewrite the system of equations.

The solution of this system can be written as.

]]>There is one idea. To search for the solution of the equation.

If we know any solution

of this equation. Then it is possible to find another . Make such a change.Then the following solution can be found by the formula.

]]>Better system to write this.

For simplicity, the formula is written. Solution write using other parameters which will be determined next.

Express these options through the following polynomial.

Express these options through the following polynomial.

And now Express them via the parameters set by us

.The formula is very cumbersome and I wasn't able to test it. We must believe not made any mistake?

More simple parameterizations.

]]>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.

]]>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.

]]>thanks]]>

Spread by multipliers...

Decisions can be recorded.

]]>Write solutions like this.

]]>For the solution of the equation.

Solution we write expanding on the multipliers.

And ; ]]>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.

]]>For the equation.

You can write such a parameterization.

]]>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

.]]>Representation of a number we write.

I think that the only way to record the desired polynomial is to use the solutions of any equation.

Knowing the solutions of this equation and substituting them into the linear Diophantine equation.

variables which are solutions of this equation. Then the solution of the first equation can be written as.]]>Knowing one solution, others will find the formula.

Decisions will be.

]]>For the system of equations.

Lay on multipliers.

Solutions written in this form. Any whole number. It is seen that solutions in integers there is not only for but for any other integer.This formula will be better ....

Decompose the number $T$ in two different ways.

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