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Post Closed as "Not suitable for this site" by user44191, Sean Lawton, Steven Landsburg, Ryan Budney, Jan-Christoph Schlage-Puchta
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Lateef Suaib
Lateef Suaib
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I am new here and I just want to ask if the following system has a general solution:

If $a$ $b$a, b and $c$c are given such that:

$$ x + y + z = a $$

   $$ x^2 + y^2 + z^2 = b $$

   $$ x^8 + y^8 + z^8 = c $$

Is Is there a way to find out if there exists a general solution to find $x$x, $y$y and $z$z?

I am new here and I just want to ask if the following system has a general solution:

If $a$ $b$ and $c$ are given such that:

$$ x + y + z = a $$

 $$ x^2 + y^2 + z^2 = b $$

 $$ x^8 + y^8 + z^8 = c $$

Is there a way to find out if there exists a general solution to find $x$, $y$ and $z$?

I am new here and I just want to ask if the following system has a general solution:

If a, b and c are given such that:

$$ x + y + z = a $$  $$ x^2 + y^2 + z^2 = b $$  $$ x^8 + y^8 + z^8 = c $$ Is there a way to find out if there exists a general solution to find x, y and z?

deleted 2 characters in body
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user44191
user44191
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I am new here and I just want to ask if the following system has a general solution: $$ If a, b and c are given such that: $$

If $a$ $b$ and $c$ are given such that:

$$ x + y + z = a $$ $$ x² + y² + z² = b $$ $$ xⁿ + yⁿ + zⁿ = c $$ $$ Where n = 8. $$ $$ Is

$$ x^2 + y^2 + z^2 = b $$

$$ x^8 + y^8 + z^8 = c $$

Is there a way to find out if there exists a general solution to find x$x$, y$y$ and z$z$?

I am new here and I just want to ask if the following system has a general solution: $$ If a, b and c are given such that: $$ $$ x + y + z = a $$ $$ x² + y² + z² = b $$ $$ xⁿ + yⁿ + zⁿ = c $$ $$ Where n = 8. $$ $$ Is there a way to find out if there exists a general solution to find x, y and z?

I am new here and I just want to ask if the following system has a general solution:

If $a$ $b$ and $c$ are given such that:

$$ x + y + z = a $$

$$ x^2 + y^2 + z^2 = b $$

$$ x^8 + y^8 + z^8 = c $$

Is there a way to find out if there exists a general solution to find $x$, $y$ and $z$?

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Lateef Suaib
Lateef Suaib
  • 11
  • 1

Hyper-simultaneous equation

I am new here and I just want to ask if the following system has a general solution: $$ If a, b and c are given such that: $$ $$ x + y + z = a $$ $$ x² + y² + z² = b $$ $$ xⁿ + yⁿ + zⁿ = c $$ $$ Where n = 8. $$ $$ Is there a way to find out if there exists a general solution to find x, y and z?