What you provide
What you provide
- Quadratic coefficient a: Non-zero coefficient multiplying x squared.
- Linear coefficient b: Coefficient multiplying x.
- Constant c: Constant term in the equation.
ALGEBRA / AX² + BX + C = 0
Quadratic Equation Calculator
Solve a quadratic equation for real or complex roots and inspect its discriminant and vertex coordinates.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
The quadratic formula uses the discriminant to select real or complex roots; the axis of symmetry locates the vertex.
Calculation path
x = (-b +/- sqrt(b^2 - 4ac)) / 2a.
What you receive
What you receive
- Two equation roots
- Discriminant
- Vertex x and y coordinates
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Displayed roots are rounded for presentation; substitute with adequate precision when checking sensitive equations.
Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.