An easy to use online calculator and solver for quadratic equations of the form
\[ a x^2 + b x + c = 0 \]
The calculator uses the quadratic formulas.
\[
x_1 = \frac{-b + \sqrt{D}}{2a}
\qquad \text{and} \qquad
x_2 = \frac{-b - \sqrt{D}}{2a}
\]
to calculate the solutions of the quadratic equation. The discriminant \( D \) given by
\[ D = b^2 - 4 a c \]
The solutions given by this calculator may be real or complex numbers. In the case of real numbers, the imaginary part is equal to zero.