ax² + bx + c = 0
Root 1 (x₁)
3.000000
Root 2 (x₂)
2.000000
Discriminant
1.00
Vertex
(2.50, -0.25)
Two distinct real roots · Parabola opens upward ↑ · Axis of symmetry: x = 2.50
About Quadratic Equation Solver
Solve any quadratic equation in the form ax² + bx + c = 0 using the quadratic formula. Enter the coefficients a, b, and c to find both roots (real or complex), the discriminant, vertex coordinates, axis of symmetry, and whether the parabola opens up or down. Includes a visual formula breakdown.
How to Use Quadratic Equation Solver
- 1
Enter coefficients
Type the values for a, b, and c in your equation ax² + bx + c = 0.
- 2
View roots
Both solutions are displayed instantly along with the discriminant and root type.
- 3
See properties
View the vertex, axis of symmetry, and direction of the parabola.
Common Use Cases
- Solving algebra homework and exam problems
- Finding projectile trajectory intercepts in physics
- Calculating break-even points in business models
- Verifying hand-calculated quadratic solutions
Frequently Asked Questions
What is the quadratic formula?
What if the discriminant is negative?
What does the discriminant tell me?
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