Quadratic Formula Calculator
x = (−b ± √(b² − 4ac)) ÷ 2aDiscriminant=25−24=1; x=(−5±1)÷2 → x=−2 or x=−3
Free online tool
Quadratic Formula Calculator
Enter coefficients a, b and c to find the roots of the quadratic equation.
Instant calculation
Quadratic Formula Calculator
Enter coefficients a, b and c to find the roots of the quadratic equation.
Your result
Calculation
Your numbers stay in this browser. Nothing is uploaded or saved.
Three clear steps
How to use this calculator
- 01
Enter coefficient a
Type the coefficient of x².
- 02
Enter coefficient b
Type the coefficient of x.
- 03
Enter coefficient c
Type the constant term.
The formula
How this calculation works
The quadratic formula gives real roots when the discriminant (b²−4ac) is non-negative.
Check the method
Worked examples
Each example follows the same formula used by the calculator.
Solve x² + 5x + 6 = 0?
Discriminant=25−24=1; x=(−5±1)÷2 → x=−2 or x=−3x = −2, x = −3Common questions
Questions about this calculation
What is the Quadratic Formula Calculator?
The Quadratic Formula Calculator helps you solve quadratic equations of the form ax² + bx + c = 0. Enter your values and select Calculate to get an instant result.
How is the result calculated?
The quadratic formula gives real roots when the discriminant (b²−4ac) is non-negative.
Can you show an example?
Example: Solve x² + 5x + 6 = 0? — x = −2, x = −3.
Is my data saved when I use the Quadratic Formula Calculator?
No. All calculations run locally in your browser. Your inputs and results are never uploaded, stored or shared with anyone.
Is the Quadratic Formula Calculator free to use?
Yes. The Quadratic Formula Calculator is completely free. No account, sign-up or payment is required. It works on mobile, tablet and desktop.
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