Quadratic Equation (ax² + bx + c = 0)

Calculate Quadratic Equation (ax² + bx + c = 0) instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.

Quadratic Equation (ax² + bx + c = 0)

a
b
c
Discriminant D
1
D = b² − 4acCalculate Quadratic Equation (ax² + bx + c = 0) instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.
D = b²−4ac
1
x₁
2
x₂
1
Sum of roots (Vieta)
3

More about: Quadratic Equation (ax² + bx + c = 0)

What it calculates

The “Quadratic Equation (ax² + bx + c = 0)” calculator computes Discriminant D from 3 parameters: a, b, c.

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

Example calculation

With parameters a = 1, b = -3, c = 2 the result is 1 (D = b² − 4ac).

How to use

  1. Enter a, b and c — each field above is adjustable with a slider.
  2. Discriminant D 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.

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FAQ

How is Quadratic Equation (ax² + bx + c = 0) calculated?
The Quadratic Equation (ax² + bx + c = 0) calculator computes Discriminant D from a, b, c. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Quadratic Equation (ax² + bx + c = 0) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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