Quadratic Equation Solver
Solve ax² + bx + c = 0 and get the discriminant and roots.
Result
Discriminant (Δ)
1.00
Roots
x₁ = 2, x₂ = 1
How it works
x = (−b ± √(b²−4ac)) ÷ 2a
The discriminant Δ = b²−4ac tells you the roots: positive gives two real roots, zero gives one, negative gives a complex pair.
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Frequently asked questions
What does the discriminant tell me?
Δ > 0: two real roots; Δ = 0: one repeated root; Δ < 0: two complex roots.
What if a = 0?
Then it is not quadratic but linear, and the solver returns the single root of bx + c = 0.
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