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https://math.stackexchange.com/question … 71#3214271
Use another equation.
And we use solutions to the Pell equation.
any number.Decisions then write down so.
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https://mathoverflow.net/questions/3343 … 624#334624
To solve the Diophantine equation. Where
is any given number...Solutions can be expressed through the following solutions to the Pell equation.
And then the decisions can be recorded...
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https://math.stackexchange.com/question … y2-a2ab-b2
Solution of equation.
Can be written using solutions to the Pell equation....
Knowing the first solutions for....
The following can be found by the formula.
Will make a replacement for the simplified entry....
Last edited by individ (2019-07-03 00:21:35)
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A link to the discussion of the equation....
https://dxdy.ru/topic134512.html
I kind of wrote 5 parametric solution.
For the case when
or .... get the formula for 4 cubes...Last edited by individ (2019-07-11 16:28:48)
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https://math.stackexchange.com/question … s-part-two
Last edited by individ (2019-09-14 19:35:05)
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https://math.stackexchange.com/question … 86#4039186
To solve the Diophantine equation.
It is necessary to use the solution of the following equation.
There are solutions when the coefficient can be represented as the sum of squares.
And the solution itself can be presented in this form.
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https://math.stackexchange.com/question … 72#4370472
There are various variants of such equations. For example like this.
https://artofproblemsolving.com/communi … _variables
When solving such equations.
Pythagorean triples can help us. Take any two Pythagorean triples.
Then the solutions can be written in this form. Then the truth needs to be reduced by a common divisor.
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