The Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
The discriminant (Δ = b²−4ac) tells you the nature of the roots: positive = 2 real roots, zero = 1 repeated root, negative = 2 complex roots.
Quadratic Equation Calculator
Solve ax² + bx + c = 0 and see the full solution.
x² + x + = 0
Solutions
x = 0
Discriminant (Δ)
0
Root Type
Real
Vertex
(0, 0)
Axis of Symmetry
x = 0
Step-by-Step Solution
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