Quadratic equation solver
Solve a·x² + b·x + c = 0 with real or complex solutions, discriminant and vertex.
a·x² + b·x + c = 0
Solutions
x₁ = 1x₂ = 2
Discriminant b² − 4ac
1
Vertex of the parabola
(1.5, -0.25)
A positive discriminant gives two real solutions, zero gives one, and a negative one gives a pair of complex solutions.
How it works
The sign of the discriminant b² − 4ac tells how many real solutions exist: two, one, or none (a complex pair).
Formulas
- x = ( −b ± √(b² − 4ac) ) / 2a
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