# Solvable by Radicals

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• August 8th 2008, 11:53 AM
ThePerfectHacker
Solvable by Radicals
Let $F = \overline{\mathbb{F}_p} (x)$, the function field of the algebraic closure of $\mathbb{F}_p$.
Show that $f(t) = t^p - t - x$ is not solvable by radicals.