Enter three coefficients to solve ax2 + bx + c = 0 and inspect the discriminant.
x2 - 5x + 6 = 0
First root-
Second root-
Discriminant-
Vertex-
Method
Calculation method
The calculator applies the standard arithmetic or statistical definition shown by the selected task. Results retain extra precision internally and round only the displayed value.
Inputs are validated before calculation. Fractions are reduced with the greatest common divisor, while sample statistics use n minus 1 where appropriate.
Questions
Quadratic Formula Calculator FAQ
What is the quadratic formula?
For ax2 + bx + c = 0, the roots are (-b plus or minus the square root of b2 - 4ac) divided by 2a.
What does a negative discriminant mean?
A negative discriminant means the equation has two complex conjugate roots and no real x-intercepts.
