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:

Solve a Quadratic Equation

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

Formula: x = [−b ± √(b²−4ac)] ÷ 2a

Write the inputs in the form required by the formula and check the result with a small reference case. For equations and statistics, make sure the selected convention matches the problem you are solving.

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

References:

Frequently Asked Questions FAQ

What does Quadratic Formula Calculator calculate?

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

What is the formula for Quadratic Formula Calculator?

The formula used by the calculator is: x = [−b ± √(b²−4ac)] ÷ 2a

What inputs does Quadratic Formula Calculator need?

Enter coefficients a, b and c for the quadratic equation ax² + bx + c = 0.

How can I verify the Quadratic Formula Calculator result?

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

How should I round the Quadratic Formula Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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