About Privacy Policy Terms FAQ Contact
Earth Bondhon
Login Signup
Creators
Earth Bondhon Author
Earth Bondhon
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: November 11, 2025

Quadratic Formula Calculator | Solve Quadratic Equations Easily

🇺🇸
English
Default
🇪🇸
Español
Spanish
🇫🇷
Français
French
🇩🇪
Deutsch
German
Quadratic Formula Calculator
Check out 173 Similar Math Calculators

Quadratic Formula Calculator

Solve quadratic equations instantly using the quadratic formula. Enter coefficients a, b, and c to find real or complex roots quickly and accurately.

Quadratic Formula
Fig-1: Solve Quadratics

quadratic equation solver online

Quadratic Formula Calculator assists users in finding the roots of quadratic equations fast and precisely. The calculator is useful across the fields of algebra, mathematics, and engineering by allowing the calculation of the solutions of the quadratic formula with the inputs of coefficients a, b, and c, and complex or real roots of the solution.

quadratic formula calculator

The Quadratic Formula Calculator is an online tool that allows users to solve quadratic equations of the form \( ax^{2}+bx+c=0 \) quickly. By entering the coefficients a, b, and c, the calculator computes the roots using the quadratic formula:

\[ x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a} \]

It provides real or complex roots, depending on the discriminant. This tool is ideal for students, teachers, engineers, and anyone dealing with algebra, mathematics, or physics problems. The interface is simple, responsive, and requires no installation.

Work, Installation, Input to Output

Work:

  • Accepts coefficients a, b, and c.
  • Calculates discriminant \( D = b^{2} -4ac \)
  • Computes roots using:
    \( x=\frac{-b+\sqrt{D}}{2a} \)
    \( x=\frac{-b-\sqrt{D}}{2a} \)
  • Displays real or complex roots.

Installation: No installation required; works in any modern web browser.

Input:

  • Coefficient a
  • Coefficient b
  • Coefficient c

Output:

  • Root 1 and Root 2 (real or complex)

Testing and Final Adjustments

Test equations which have two real roots, one real root (discriminant zero), or complex roots (negative discriminant). Add = 0 (not quadratic) validation. Make sure you work with decimals and negative numbers. Teshowow is mobile and desktop responsive, it is. Offer immediate feedback on changes in inputs. Show roots and display discriminant. Rounded off to sensible decimal points. \( x^{2} - 5x + 6 = 0 \textrm{ or } x^{2} + 2x + 5 = 0 \) Include error messages for invalid input. Optimize UI for clarity and usability for students, teachers, and engineers.

Frequently Asked Questions - Quadratic Formula Calculator:

What is a Quadratic Formula Calculator?

A tool to solve quadratic equations of the form ax² + bx + c = 0 quickly.

How do I use it?

Enter coefficients a, b, and c to get the roots of the quadratic equation.

What is the quadratic formula?

x = [-b ± √(b² - 4ac)] / 2a, used to find the roots of ax² + bx + c = 0.

Can it calculate complex roots?

Yes, if the discriminant is negative, the calculator provides complex roots.

Is it free?

Yes, the Quadratic Formula Calculator is completely free online.

Can I use it on mobile devices?

Yes, it is fully responsive and works on all devices.

Who can use this tool?

Students, teachers, engineers, and anyone solving quadratic equations.

What happens if a = 0?

The calculator will show an error since the equation is not quadratic.

Why is it useful?

It saves time, avoids manual errors, and provides quick and accurate solutions.

Does it show roots instantly?

Yes, the roots are calculated and displayed instantly upon entering coefficients.

Tags: quadratic formula calculator solve ax2+bx+c=0 quadratic roots calculator online quadratic solver quadratic equation calculator algebra equation solver quadratic equation solver online solve polynomial calculator math quadratic tool equation roots calculator

Related Posts

Earth Bondhon

Earth Bondhon

Calculator Tools Project

Md. Jony Islam is a highly skilled professional with expertise in electronics, electrical, mechanical, and civil engineering, as well as finance. Specializing intransformer service and maintenance for 33/11kV substations, he ensures reliable and efficient electrical systems. His mechanical engineering skills drive innovative designs, while his financial acumen supports effective project budgeting. With a strong foundation in civil engineering, he contributes to robust infrastructure development. Md. Jony Islam's multidisciplinary approach ensures efficiency, quality, and reliability across all projects.

View Full Profile