Quad Solver
ax² + bx + c = 0 Enter values…How to Use the Quadratic Solver
This tool simulates the polynomial solver function found on TI-83 and TI-84 graphing calculators. To find the roots (x-intercepts) of a parabola, you need the standard form equation: ax² + bx + c = 0.
Simply input the coefficient a for the squared term, b for the linear term, and c for the constant. Press "Calculate" to see the discriminant and the real or complex roots.
Understanding the Discriminant
The solver calculates the discriminant (Δ = b² – 4ac) to determine the nature of the roots:
- Δ > 0: Two distinct real roots. The graph crosses the x-axis twice.
- Δ = 0: One real root. The graph touches the x-axis at its vertex.
- Δ < 0: Two complex roots. The graph does not touch the x-axis.
Why Use a Graphing Calculator?
Graphing calculators are essential in algebra and calculus for visualizing functions. While this tool solves the equation algebraically, a physical device allows you to view the parabola's shape, vertex, and axis of symmetry instantly.