quadratic resolvent
The quadratic resolvent of the cubic equation
(1) |
where and are known complex numbers, is the auxiliary equation
determining as its roots (http://planetmath.org/Equation)
the numbers and whose sum satisfies theequation (1). Seeexample of solving a cubic equation (http://planetmath.org/exampleofsolvingacubicequation).
Analogically, a quartic equation has a cubic resolvent (resolvent cubic
) equation.