Quadratic Formula Calculator

Use the formula for ax² + bx + c = 0 with a ≠ 0. The discriminant determines the root type. Formula: x = [−b ± √(b²−4ac)] ÷ 2a

Enter coefficient a:
Enter coefficient b:
Enter coefficient c:

Result:

Graph:

Factors of the Quadratic Equation:

Evaluate Quadratic Formula

Use the formula for ax² + bx + c = 0 with a ≠ 0. The discriminant determines the root type.

Formula: x = [−b ± √(b²−4ac)] ÷ 2a

Use exact values where the method requires them, then round only at the final step when possible. Early rounding can slightly change the displayed answer.

The formula provides a direct way to verify the result without relying on a second calculator.

References:

Frequently Asked Questions FAQ

Can the calculator handle quadratic equations with fractional or decimal coefficients?

Yes, the Quadratic Formula Calculator can handle quadratic equations with fractional or decimal coefficients. It provides accurate solutions regardless of the coefficient format.

Can the calculator handle both real and complex roots?

Yes, the Quadratic Formula Calculator can handle both real and complex roots. It determines the nature of the roots based on the discriminant (b^2 - 4ac) of the quadratic equation.

Is the calculator suitable for complex mathematical expressions?

The Quadratic Formula Calculator is tailored for simple quadratic expressions. Complex mathematical expressions involving variables, functions, or equations of higher degrees may require specialized tools.

What if I encounter non-real coefficients or complex-valued coefficients?

The calculator can handle non-real coefficients or complex-valued coefficients, provided that the inputs are valid real numbers or complex numbers in the format a + bi.

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