Was Abel able to solve the quintic equation using radicals?
Yes
No, he proved it was impossible
Sometimes
It is still unsolved
Answer
Abel was not able to solve the quintic equation using radicals. In fact, he proved that it was impossible. He did this by showing that there was no general formula for the roots of the quintic equation in terms of radicals. This was a major breakthrough in mathematics, and it showed that there were some things that could not be solved using the tools that were available at the time.
Discovering the Brilliance: The Life and Legacy of Niels Henrik Abel
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