Calculator tool
How this calculator works
The result depends on the numbers you enter and the assumptions shown below.
The quadratic formula: x = (−b ± √(b²−4ac)) / 2a. The discriminant (b²−4ac) determines the nature of roots: positive = two real roots; zero = one real root; negative = two complex roots.
Review the inputs carefully and treat the output as an estimate. For decisions involving money, taxes, health, law, or security, compare the result with trusted professional guidance when needed.
Frequently asked questions
What is the discriminant?
The discriminant is b²−4ac. If positive, two distinct real roots. If zero, one repeated real root. If negative, two complex conjugate roots.
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