Quadratic Equation Solver
Solve quadratic equations of the form ax² + bx + c = 0 — with step-by-step solutions.
ax\u00b2 + bx + c = 0
About this solver
This solver handles quadratic equations in standard form ax² + bx + c = 0. Enter the coefficients a, b, and c. Does not support higher-degree polynomials or non-standard forms.
How to solve quadratic equations
A quadratic equation has the form ax² + bx + c = 0 where a ≠ 0. The discriminant Δ = b² − 4ac determines the number of solutions: a positive discriminant gives two real roots, zero gives one repeated root, and a negative discriminant means no real solutions exist (only complex). Roots are found using the quadratic formula: x = (−b ± √Δ) / 2a.