Algebra & EquationsFree Tool

Quadratic Equation Calculator

Provided bySymbolabsymbolab.com

Solves quadratic equations by formula, factoring, or completing the square with each step shown.

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Screenshot of Quadratic Equation Calculator on Symbolab
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About this tool

What Quadratic Equation Calculator does

The Quadratic Equation Calculator on Symbolab solves equations in the standard form ax² + bx + c = 0 by offering multiple algebraic methods. Users input the coefficients a, b, and c, and the tool computes the roots using the quadratic formula, factoring, or completing the square. Each method is broken down into clear, step-by-step instructions, making the underlying mathematical principles visible. The output includes the calculated solutions along with a detailed explanation of the process used, serving as both a problem solver and a learning aid for quadratic equations.

Step by step

How to use the Symbolab Quadratic Equation Calculator

  1. 1

    Open the Quadratic Equation Calculator on Symbolab

  2. 2

    Enter the coefficient a for the x² term

  3. 3

    Enter the coefficient b for the x term and the constant c

  4. 4

    View the step-by-step solution and the resulting roots displayed on screen

Is it right for you

Best for

Algebra students and anyone needing to solve quadratic equations while understanding the step-by-step process behind each method.

Limitations

  • No unit conversion or graphing capabilities
  • Results are mathematical solutions only, not contextual word problems
  • Requires input in the standard ax² + bx + c = 0 format
Questions

Quadratic Equation Calculator FAQ

Can the calculator solve equations that cannot be factored?
The calculator accepts coefficients for any quadratic equation in the form ax² + bx + c = 0, including those with zero or negative values for a, b, or c.
Does the tool show the graph of the quadratic function?
Symbolab’s version distinguishes itself by offering multiple solution methods—factoring, the quadratic formula, and completing the square—within a single interface, each explained step-by-step.
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