Abel–Ruffini theorem
Videos
In mathematics, the Abel–Ruffini theorem states that there is no solution in radicals to general polynomial equations of degree five or higher with arbitrary coefficients. Here, general means that the
Paolo Ruffini, Teoria generale delle equazioni, 1799
Cubic equation
Videos
In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 in which a is not zero.
Abel–Ruffini theorem
…solved in radicals. The impossibility of solving in degree five or higher contrasts with the case of lower degree: one has the quadratic formula, the cubic formula, and the quartic formula for degrees two, three, and four, respectively. Polynomial equations of degree two can be solved with the quadratic formula…
Niccolò Fontana Tartaglia