Quadratic Formula Calculator
Verified Calculation Engine
The online Quadratic Formula Calculator helps you calculate instantly and solve problems related to Algebra. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Solves quadratic equations using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.
x = (-b ± √(b² - 4ac)) / 2a
Apply quadratic formula to find roots of ax² + bx + c = 0
Inputs
Results
Worked Examples
Example 1: Two Real Roots
Solve: x² - 5x + 6 = 0
- a: 1
- b: -5
- c: 6
- root1: 3
- root2: 2
- discriminant: 1
Example 2: Equal Roots
Solve: x² - 4x + 4 = 0
- a: 1
- b: -4
- c: 4
- root1: 2
- root2: 2
- discriminant: 0
About this calculator
Overview
Quadratic Formula Calculator evaluates Quadratic Formula for the math / algebra library. Primary input cue: Coefficient of x² [required]: Cannot be zero. Method anchor: x = (-b ± √(b² - 4ac)) / 2a. Apply quadratic formula to find roots of ax² + bx + c = 0.
When to use
Use Quadratic Formula Calculator when you already know the inputs and need quadratic formula without setting up a spreadsheet.
Inputs explained
- Coefficient of x² [required]: Cannot be zero
- Coefficient of x [required] — field id `b`
- Constant Term [required]
Formula / method
x = (-b ± √(b² - 4ac)) / 2a. Apply quadratic formula to find roots of ax² + bx + c = 0 (calculator id: quadratic-formula-calculator).
Worked example
Worked values: a = 1, b = -5, c = 6 → root1 = 3, root2 = 2, discriminant = 1
Interpreting results
Read the primary output as quadratic formula under the method on this page.
Assumptions
- The wired execution function for `quadratic-formula-calculator` is the source of numerical behavior.
- Inputs for `quadratic-formula-calculator` follow the on-page labels; values/shapes must match this operation.
- Real-number arithmetic is used unless quadratic formula explicitly needs integers.
Limitations
- Display rounding can differ slightly from a CAS/symbolic exact form of quadratic formula.
- Edge cases outside the intended domain of quadratic formula may error or look unstable—treat them as out of scope.
- Complex/branch cuts and undefined points are not always interactively annotated for quadratic formula.
Important note
Educational mathematics tool. Check edge cases and domain restrictions when results look unexpected.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
x = (-b ± √(b² - 4ac)) / 2a. Apply quadratic formula to find roots of ax² + bx + c = 0 (calculator id: quadratic-formula-calculator).
Example Calculation
Worked values: a = 1, b = -5, c = 6 → root1 = 3, root2 = 2, discriminant = 1
Frequently Asked Questions
What is Quadratic Formula Calculator?
- Quadratic Formula Calculator evaluates Quadratic Formula for the math / algebra library. Primary input cue: Coefficient of x² [required]: Cannot be zero. Method anchor: x = (-b ± √(b² - 4ac)) / 2a. Apply quadratic formula to find roots of ax² + bx + c = 0.
How does Quadratic Formula Calculator work?
- x = (-b ± √(b² - 4ac)) / 2a. Apply quadratic formula to find roots of ax² + bx + c = 0 (calculator id: quadratic-formula-calculator).
Why use this Math Numbers calculator?
- Use Quadratic Formula Calculator when you already know the inputs and need quadratic formula without setting up a spreadsheet.