Jenzzy — free calculators and converters

Quadratic Equation Calculator

Jenzzy returns real or complex roots and the discriminant for any quadratic coefficients.

Inputs

Results

Enter values to see results.

Formula

x = (−b ± √(b² − 4ac)) / 2a

Discriminant b² − 4ac determines zero, one, or two real roots.

Example

  1. Discriminant: 25 − 24 = 1
  2. Roots: (5 ± 1)/2= x = 3, 2

Result: Solutions: x = 3 and x = 2

Frequently Asked Questions

a = 0?

Not quadratic—reduces to linear equation.

Complex roots?

Negative discriminant yields imaginary components.

Factoring?

Integer roots may factor; formula always works.

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