or less in terms of
radicals. It was proven by N. Abel in 1824 that no
such formula exists for degrees 
or above.
Around the same time period, E. Galois classified
which polynomials had the property that its roots
could be given by radicals.
There are explicit formulas for the roots of any
polynomial of degree
or less in terms of
radicals. It was proven by N. Abel in 1824 that no
such formula exists for degrees
or above.
Around the same time period, E. Galois classified
which polynomials had the property that its roots
could be given by radicals.