Quadratic Formula Solver

Solve quadratic equations with the discriminant, real or complex roots, and step-by-step work.

ALGEBRA

LOCAL NO DATA SENT

QUADRATIC BENCHAX² + BX + C = 0

x = (−b ± √(b² − 4ac)) / 2a

COEFFICIENTSENTER A, B, AND C

ABC

x² − 5x + 6 = 0

Negative discriminants are reported as complex roots instead of failing.

ROOTS—The roots and discriminant will appear here.

DISCRIMINANT—

ROOT TYPE—

AXIS OF SYMMETRY—

VERTEX Y—

STEPSDISCRIMINANT → FORMULA → ROOTS

READYEnter a quadratic equation and solve for x.

LOCAL TOOL: Quadratic calculations and displayed steps run entirely in your browser.

FIELD NOTE / 022

The discriminant tells you what kind of answer to expect.

b² − 4ac is the discriminant. A positive value gives two real roots, zero gives one repeated real root, and a negative value gives two complex roots. The walkthrough substitutes your coefficients into the formula before calculating the final values.

The discriminant tells you what kind of answer to expect.

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