Quadratic Formula

Solve ax² + bx + c = 0. Find roots, discriminant, and vertex.

x² +x += 0
Discriminant (b²−4ac)12 real roots
x₁3
x₂2
Vertex (h, k)(2.5, -0.25)minimum
x = (−-5 ± √1) / 2
vertex roots axis of symmetry