Method
For ax² + bx + c = 0, x = (−b ± √(b² − 4ac)) ÷ 2a. The discriminant b² − 4ac determines whether the roots are real or complex.
Example
x² − 5x + 6 = 0 has roots 2 and 3.
Limits
Check inputs and units. Important academic, financial or professional decisions should be confirmed against an appropriate source.
Common questions
What does the quadratic formula calculator calculate?
Solve ax² + bx + c = 0 and show the discriminant.
Does this quadratic formula calculator show its method?
Yes. The result includes the central formula or working needed to check the answer.
Are my values uploaded?
No. The calculation runs in this browser and does not require an account.