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Math

Quadratic Equation Solver

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

Last validated: 2026-02-14

Use this free online Quadratic Equation Solver to find roots of `ax^2 + bx + c = 0`, including complex solutions when needed. It is useful when you need a focused browser-based utility that turns a specific set of inputs into a practical result quickly. The form focuses on a, b, c and returns Quadratic Inputs, Roots, so you can move from input to answer without setting up a spreadsheet or custom script. Run one realistic example, adjust the inputs, and compare how the result changes before you copy or share it. Save the inputs with the result when the output will be shared, audited, or used as part of a larger workflow.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

Quadratic Inputs

Solve equations of the form ax² + bx + c = 0.

Roots

Type: Real

Discriminant: 1.0000

Root 1: 2.0

Root 2: 1.0

How to use this tool

  1. Enter a, b, c for the quadratic equation solver, keeping units, dates, or text format consistent with the form labels.
  2. Check optional fields and assumptions before running so the result matches the workflow you have in mind.
  3. Click "Run the tool" and review Quadratic Inputs, Roots for the primary output.
  4. Copy or share the result together with the inputs so the output can be reproduced later.

Worked Example

Auto-generated from the tool's current default or entered inputs.

Example Inputs

  • A: 1.0
  • B: -3.0
  • C: 2.0
  • Root 1: 2.0
  • Root 2: 1.0
  • Equation type: real

Expected Outputs

  • A: 1
  • B: -3
  • C: 2
  • Discriminant: 1

Interpretation

Confidence and limitations

Formula References

Assumptions

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