What This Calculator Is Best For
Use it to solve ax² + bx + c = 0 and to inspect the discriminant before choosing a method.
- Solve homework equations.
- Check whether a projectile path crosses a height.
- Review vertex and root behavior.
Quadratic Formula Calculator
Solve quadratic equations ax² + bx + c = 0.
Mathequationalgebrastudents
Quadratic Formula Calculator Formula
x = (-b ± √(b² - 4ac)) / 2aEnter the known values and the calculator applies this formula to produce the main result, plus supporting values that help you check the answer.
| Symbol | Variable | Description |
|---|---|---|
| a | a | a used by the calculator. |
| b | b | b used by the calculator. |
| c | c | c used by the calculator. |
How to Use the Quadratic Formula Calculator
- 1
Enter the known values
Fill in the fields and confirm that the units match the formula shown on the page.
- 2
Click Calculate
The primary answer appears in the highlighted row, with related check values underneath.
- 3
Read the result
The roots show where the parabola crosses the x-axis. The discriminant explains whether the roots are two real values, one repeated value, or a complex pair.
How to Read the Result
The roots show where the parabola crosses the x-axis. The discriminant explains whether the roots are two real values, one repeated value, or a complex pair.
Before You Rely on the Result
The a value cannot be 0. If a is 0, the expression is linear rather than quadratic.
Quadratic Formula Calculator FAQ
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