Quadratic Equation Solver
Finds the roots of a quadratic equation using the quadratic formula
Quadratic Equation
x² = 0
Enter coefficients to solve a quadratic equation in the form ax² + bx + c = 0
Results
Solutions will appear here after you click "Solve Equation"
Graphical Representation
Step-by-Step Solution
Step-by-step solution will appear here after you click "Solve Equation"
Interactive Guide
Understanding Quadratic Equations
A quadratic equation is a second-degree polynomial equation in a single variable x:
ax² + bx + c = 0
where a, b, and c are constants and a ≠ 0.
The Quadratic Formula
The solutions to a quadratic equation are given by:
x = (-b ± √(b² - 4ac)) / (2a)
Important Concepts
- Discriminant (b² - 4ac): Determines the nature of roots
- Vertex: The highest or lowest point of the parabola at (-b/2a, f(-b/2a))
- Axis of Symmetry: A vertical line passing through the vertex at x = -b/2a