This Quadratic Formula Calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax2 + bx + c = 0 for x, where a ≠ 0, using the quadratic formula. The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots. Calculator determines whether the discriminant (b2−4ac) is less than, greater than or equal to 0. When b2−4ac=0 there is one real root. When b2−4ac>0 there are two real roots. When b2−4ac<0 there are two complex roots.