Quadratic equation solver
Solves ax² + bx + c = 0 exactly, including complex roots.
- Basic algebra
- Roots
Roots
Equation1x² − 3x + 2 = 0
Discriminant b² − 4ac1
Nature of the rootsTwo distinct real roots
Root 12
Root 21
Sum of the roots3−b/a, by Vieta
Product of the roots2c/a, by Vieta
Vertex(1.5, -0.25)
Axis of symmetryx = 1.5
OpensUpwards, the vertex is a minimum