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Quadratic Formula Calculator

Solve quadratic equations, including complex roots and linear special cases.

How It Works

D=b²−4ac; x=(−b±sqrt(D))/(2a). Coefficients are divided by their largest absolute value before computing the displayed normalized discriminant. Distinct real roots use a cancellation-resistant equivalent.

Reference Sources

FAQs

How does this calculator work?

D=b²−4ac; x=(−b±sqrt(D))/(2a). Coefficients are divided by their largest absolute value before computing the displayed normalized discriminant. Distinct real roots use a cancellation-resistant equivalent.

What assumptions should I check?

Check the units and definitions shown beside each input. Results use the values you enter.