Quadratic Equation Solver

Solve ax² + bx + c = 0. Shows real/complex roots, discriminant, vertex, axis, and factored form. Use Enter or Ctrl/Cmd+Enter to solve.

Coefficient a

Coefficient b

Constant c

Tip: you can enter decimals or integers. a ≠ 0 for a true quadratic (linear fallback is supported).

Results

Fill in a, b, c and click Solve to see the solution steps.

What Is a Quadratic Equation Solver?

A quadratic equation solver is an online tool designed to calculate the roots of quadratic equations in the form ax² + bx + c = 0. With this online quadratic equation solver, users can instantly find real or complex roots, discriminant, vertex, and factored form without doing manual math.

Quadratic equations appear frequently in algebra, physics, and engineering. Instead of working through lengthy formulas, this tool simplifies the process and provides accurate results within seconds.

How to Use the Online Quadratic Equation Solver

Using the online quadratic equation solver is simple and intuitive. Follow the steps below to get your solutions quickly.

Step-by-Step Instructions

Enter Coefficient a: Type the value for a (cannot be 0).
Enter Coefficient b: Input the value for b.
Add Constant c: Type the constant term c.
Click “Solve”: The tool instantly calculates and displays:
- Roots (real or complex)
- Discriminant
- Vertex coordinates
- Factored form and axis of symmetry

Features of the Tool

Supports real and complex roots
Displays discriminant, vertex, and factored form
Exports results as JSON or CSV
User-friendly and works on desktop or mobile
Instant calculations with no sign-up required

Benefits of Using an Online Solver

Using a quadratic equation solver offers several advantages:

Saves time: No manual computation required.
Accurate results: Eliminates human error in calculations.
Educational aid: Great for students learning algebraic concepts.
Multi-format output: Download results for classroom or project use.
Accessible anywhere: Works directly in your browser.
Accessible anywhere: Works directly in your browser.

Example: Solving ax² + bx + c = 0

Let’s solve the equation x² – 3x + 2 = 0.

Here, a = 1, b = -3, c = 2.
Discriminant = 1
Roots: x = 1 and x = 2
Vertex: (1.5, -0.25)
This shows how the online quadratic equation solver instantly provides accurate results and supporting values.

FAQs

Q1: What types of equations can this solver handle?

It supports all standard quadratic equations where a ≠ 0, including equations with decimal or complex coefficients.

Q2: Does the solver work offline?

No, this is an online tool that requires an internet connection.

Q3: Can I use this for complex roots?

Yes, the solver automatically detects and displays complex roots when the discriminant is negative.

Q4: How accurate are the results?

All calculations are performed using precise floating-point arithmetic for maximum accuracy.

Q5: Is this tool free to use?

Yes! It’s completely free, with no registration or hidden fees.

Conclusion

The online quadratic equation solver is a powerful, fast, and reliable tool for students, teachers, and professionals alike. It simplifies algebraic computations and ensures accurate results with minimal effort. Try it today to save time and enhance your understanding of quadratic equations.

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