Calculators

Quadratic Equation Solver

Solve ax² + bx + c = 0 and view real or complex roots.

Formula: x = (−b ± √(b² − 4ac)) / 2a
Instructions

Instructions: Quadratic Equation Solver

Follow these steps to get a reliable result without unnecessary setup.

  1. 1

    Enter the coefficients a, b and c from ax² + bx + c = 0.

  2. 2

    Choose the options in Quadratic Equation Solver that match your intended output, such as units, format, mode, range or quality when those controls are available.

  3. 3

    Run Quadratic Equation Solver and review the displayed result, preview or validation message before proceeding.

  4. 4

    Check the entered units, dates, decimal placement and any assumptions before relying on the result.

  5. 5

    Use the available reset, copy or download action in Quadratic Equation Solver when you are satisfied with the result; only actions supported by this tool are shown.

About

About this tool: Quadratic Equation Solver

Calculate the discriminant and roots of a quadratic equation, including repeated and complex roots, with graceful handling when a is zero.

Use it to compare scenarios quickly while keeping the relevant values, units, dates or rates visible on one page.

Quadratic Equation Solver is presented in the shared NexterHub tool layout so the working controls stay near the top while the method, example, limitations and related utilities remain available below the result.

How it works

The discriminant b²−4ac determines the root type, and the quadratic formula is used when a is non-zero.

Practical example

For a=1, b=−3, c=2, the roots are 1 and 2.

Important notes

Check the entered units, dates, decimal placement and any assumptions before relying on the result.

Privacy & processing

The calculation is performed in the browser from the values you enter.

FAQ

Frequently asked questions

What does Quadratic Equation Solver do?

Solve ax² + bx + c = 0 and view real or complex roots.

How do I use Quadratic Equation Solver?

Start with the main input step: Enter the coefficients a, b and c from ax² + bx + c = 0. Then choose any relevant options, run the tool and review the result.

How does Quadratic Equation Solver calculate or process the result?

The discriminant b²−4ac determines the root type, and the quadratic formula is used when a is non-zero.

What should I check before using a result from Quadratic Equation Solver?

Check the entered units, dates, decimal placement and any assumptions before relying on the result.

Does Quadratic Equation Solver send my input to a NexterHub server?

The calculation is performed in the browser from the values you enter.

Can I use Quadratic Equation Solver on a phone or tablet?

Yes. Quadratic Equation Solver uses the responsive NexterHub tool layout, so controls and results adapt to smaller touch screens.