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Math · Calculator

Quadratic Formula Calculator

Solve a quadratic equation using the quadratic formula, including real and complex root cases.

Roots

3, 2

Discriminant

1

Root type

two-real

Vertex

(2.5, -0.25)

Results are deterministic client-side calculations. Review assumptions and units before using a result in school, business, construction, or technical work.

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How to use this calculator

Solve a quadratic equation using the quadratic formula, including real and complex root cases.

How the calculation works

  • Enter a, b, and c.
  • The discriminant b² - 4ac is calculated.
  • Roots are selected based on the discriminant.

Formula

x = (-b ± sqrt(b² - 4ac)) / 2a.

Example

x² - 5x + 6 = 0 has roots x = 2 and x = 3.

Understanding your result

Use the output as a practical starting point, then review it before using it in an important workflow.

Assumptions and limitations

  • a cannot be zero.
  • Complex roots are displayed in a + bi form.

Frequently asked questions

Does this require an account?

No. The core tool works without creating a Tool2Do account.

Is my input included in share links or analytics?

No. Tool2Do share actions use the tool page URL and safe metadata, not private values or uploaded files.

Quadratic Formula Calculator | Tool2Do