Math & Science
Quadratic Equation Solver
Solve quadratic equations and find roots
Formulas and edge cases are reviewed against authoritative references before publication. For methodology, editorial standards, or corrections, use the links below.
Frequently asked questions
What is the discriminant?
D = b² - 4ac determines root type: D>0 = two real, D=0 = one real, D<0 = complex.
What is the vertex?
The minimum/maximum point of the parabola at x = -b/(2a).
Can I solve higher degree equations?
This tool is for quadratics only. Cubics and above require different methods.
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About this tool
This Quadratic Equation Solver turns your inputs into practical results. Provide Coefficient a, Coefficient b, and Coefficient c to calculate Roots (x values) and Discriminant.
Adjust values to compare scenarios and see how sensitive the result is. The calculation uses the numbers as entered, so double-check units and expect small differences from rounding in the displayed totals.