Polynomial Roots

Calculate Polynomial Roots instantly with the exact formula and a worked example.

Polynomial Roots

Coefficient of x²
Coefficient of x
const
x₁
3
D = 1x₂ = 2Calculate Polynomial Roots instantly with the exact formula and a worked example.

More about: Polynomial Roots

What it calculates

The “Polynomial Roots” calculator computes x₁ from 3 parameters: coefficient of x², coefficient of x, const.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters Coefficient of x² = 1, Coefficient of x = -5, const = 6 the result is 3 (D = 1).

How to use

  1. Enter coefficient of x², coefficient of x and const — each field above is adjustable with a slider.
  2. x₁ is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

Related calculators

FAQ

How is Polynomial Roots calculated?
The Polynomial Roots calculator computes x₁ from coefficient of x², coefficient of x, const. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Polynomial Roots calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

More calculators in this category

Explore related free tools

Dome VolumeUnit VectorEigenvectors (2×2)Binary to DecimalHex to DecimalTwo's ComplementOne's ComplementBinary AdditionBinary MultiplicationAnnuity Payment (PMT)Annuity Present ValueAnnuity Future Value