Quadratic Equation Calculator

This tool solves equations in the form ax² + bx + c = 0. It works fast and with clear results.

How to Use This Tool

Follow these steps:

1. Enter the coefficient a. This value starts at 1 by default.
2. Type the coefficient b. Use a number that fits your equation.
3. Enter the coefficient c. This is the constant term.
4. Click the Calculate button. The result appears immediately.

Input Field Details

The input for a sets the quadratic term. Use b for the linear term. Use c for the constant term. Only numbers work for these fields.

Output Explanation

The calculator shows the equation as you type. It displays the roots of the equation.

If the equation has real roots, both will be shown. If there is one real root, it will appear. For complex roots, the tool provides the real and imaginary parts.

The screen also shows the vertex of the parabola. A parabola graph is provided as a visual aid.

The graph displays the curve of the quadratic equation. It draws the coordinate axes and grid lines for better clarity.

Limitations and Special Notes

This tool handles quadratic equations and equations that reduce to a linear form. It does not cover other types of equations.

If a is 0 and b is 0, the tool shows that there is no solution or an identity based on c.

The tool updates the result with every change you make. It works best with simple numeric entries.

Examples of Use Cases

• Students checking homework answers.
• Teachers demonstrating graph shapes and roots.
• Anyone needing quick and clear math help.

In a Nutshell

The quadratic equation calculator gives clear answers and a graph to show the equation's curve. It saves time and explains results in a simple way.