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Quadratic Formula Calculator

Quadratic Formula: Solves quadratic equations, including complex roots and the linear a=0 case..

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Quadratic Formula Calculator for United States

US · 12,345.67US customary measurementsRoad distance: miles

United States display and unit preferences. The stated calculation method is used. Review the labeled units before entering your values.

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Your details

Results update instantly as you change the inputs.

First root

3

United States · calculated from your inputs

Second root2
Discriminant1
Vertex x2.5
Vertex y-0.25
Your calculation, beautifully packaged.Download a report with this result, your inputs, the formula, and assumptions.

How this result was calculated

  1. Roots = (−b ± √(b² − 4ac)) / (2a).
  2. Country setup: United States. Displayed measurements are converted to the formula's base units internally.

Assumption: Solves quadratic equations, including complex roots and the linear a=0 case. United States display and unit preferences. The stated calculation method is used. Review the labeled units before entering your values.

Calculation version 1.0.0 · Support state: generic

Formula and method

Roots = (−b ± √(b² − 4ac)) / (2a).

This calculation uses the values you enter. It runs in your browser and does not request a location or account.

Worked example

x² − 5x + 6 = 0 has roots 2 and 3.

Questions people ask

Which method does this tool use?

Roots = (−b ± √(b² − 4ac)) / (2a).

What should I check before using the result?

Solves quadratic equations, including complex roots and the linear a=0 case.