Gratis en LíneaCalculadoras
Quadratic Formula Calculator
Solve any quadratic equation ax² + bx + c = 0 instantly. Finds real and complex roots, discriminant, vertex, and axis of symmetry with step-by-step solutions.
quadratic formula calculatorquadratic equation solversolve quadratic equationquadratic formuladiscriminant calculator
Enter coefficients for ax² + bx + c = 0
Características Principales — Quadratic Formula Calculator
Solves ax² + bx + c = 0 for any coefficients
Handles real and complex roots
Discriminant with nature of roots
Vertex and axis of symmetry
Step-by-step solution shown
Parabola direction indicated
Por Qué Usar Esta Herramienta — Quadratic Formula Calculator
Gratis en Línea Quadratic formula calculatorQuadratic equation solver — para TodosRápido y Fácil Solve quadratic equationQuadratic formula — 100% GratisGratis en Línea Discriminant calculator
Privacidad Primero
Todo el procesamiento ocurre en tu navegador. Tus datos nunca salen de tu dispositivo.
Ultra Rápido
Obtén resultados instantáneos sin tiempo de espera. Sin retrasos de servidor.
Funciona en Todos Lados
Usa en cualquier dispositivo — escritorio, tablet o teléfono. Sin descargas necesarias.
Preguntas Frecuentes — Quadratic Formula Calculator
What is the quadratic formula?
The quadratic formula solves ax² + bx + c = 0: x = (−b ± √(b² − 4ac)) / 2a. The discriminant b² − 4ac determines the nature of roots: positive = two real roots, zero = one repeated root, negative = two complex roots.
What does the discriminant tell you?
The discriminant (Δ = b² − 4ac) reveals the number and type of solutions. If Δ > 0: two distinct real roots. If Δ = 0: one real root (the parabola touches the x-axis). If Δ < 0: two complex conjugate roots (the parabola does not cross the x-axis).
How do I find the vertex of a parabola?
The vertex is at (h, k) where h = −b/(2a) and k = c − b²/(4a). The axis of symmetry is the vertical line x = h. The vertex is the minimum point if a > 0 (parabola opens up) and maximum if a < 0 (opens down).