A quadratic equation graphs as a parabola and has at most two solutions (roots).
The Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a
The Discriminant (Δ = b² − 4ac)
- Δ > 0: Two distinct real roots
- Δ = 0: One repeated real root
- Δ < 0: Two complex (imaginary) roots
Example
2x² + 5x − 3 = 0 → x = (−5 ± √(25+24)) / 4 = (−5 ± 7) / 4 → x = 0.5 or x = −3