Quadratic Equation Solver
Solve ax² + bx + c = 0. Shows discriminant, roots, vertex, axis of symmetry, and a visual graph.
Equation: ax² + bx + c = 0
Graph
💡 Definition
Quadratic Equations
- A quadratic equation has the form ax² + bx + c = 0.
- The quadratic formula x = (-b ± √(b²-4ac)) / 2a gives the solutions.
- The discriminant (b²-4ac) determines the nature of roots.
📖 How to use
Step by Step
- Enter values for a, b, and c
- Solutions update in real-time
- View the parabola graph on the right
- Check discriminant, vertex, and axis of symmetry
🎯 Use cases
When to use
- Algebra homework and study
- Physics projectile calculations
- Engineering design problems
- Teaching quadratic concepts
Frequently Asked Questions
What if a = 0?▾
If a = 0, it's not quadratic but linear (bx + c = 0), giving one solution x = -c/b.
What are complex roots?▾
When the discriminant (b²-4ac) is negative, roots are complex numbers with imaginary parts. These are shown with the 'i' notation.