- Thread starter
- #1

- Thread starter roni
- Start date

- Thread starter
- #1

- $x^n-a=0$
- $x^{2n}+x^n+a=0$
- $x^{3n}+x^{2n}+x^n+a=0$
- $x^{4n}+x^{3n}+x^{2n}+x^n+a=0$
- etc.

However, the general fifth degree or higher polynomial does not have a radical solution due to a theorem, Abel-Ruffin Theorem. there is no solutions in radical to general polynomial equations of degree five or higher with arbitrary coefficients.

Note: it does not assert some higher-degree polynomials have no solutions... (see at the beginning of the post)