Quadratic Formula Calculator

Solve an equation of the form ax2+bx+c=0 by using the quadratic formula.

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.