AI Math SolverA quadratic formula calculator solves any equation of the form ax² + bx + c = 0. Enter the three coefficients to get both roots, the discriminant, and a full worked solution.
A quadratic equation has a squared variable as its highest term. Its graph is a parabola, and the quadratic formula gives the exact x-values where that parabola crosses the x-axis.
The expression under the root, b² − 4ac, is the discriminant. The calculator evaluates it first to tell you how many real roots exist before computing them, so you understand the shape of the answer.
For ax² + bx + c = 0, the solutions are x = (−b ± √(b² − 4ac)) / 2a. The calculator identifies a, b, and c, evaluates the discriminant, and returns both roots.
The discriminant is b² − 4ac. If it is positive there are two real roots, if it is zero there is one repeated root, and if it is negative the roots are complex.