Complex roots of a 2nd order polynomial

Complex roots are the result of solving quadratic equations with complex coefficients of the form: a x X2 + b x X + c = 0. The online calculator solves the equation in two successive steps.

In the first step, using the formula D = b2 – 4 x a x c the discriminant is calculated. Then, using the formula X 1,2 = (- b +- (root (D)) / 2 x a the roots are calculated, which, along with the coefficients a,b, c, as well as the discriminant, D, are complex numbers.

The need to solve quadratic equations with complex roots is a demanding task not only in mathematics but also in many applied fields. In physics for solving various problems, and in electrical engineering when studying alternating single-phase and three-phase current, the method of solving quadratic equations helps to obtain quick and sufficiently accurate results.