Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0 instantly. Displays real or complex roots, the discriminant, vertex coordinates, and axis of symmetry with LaTeX formula rendering.

Results

two real roots

x1 = 3 , x2 = 2

Vertex:

(2.5,-0.25)

Axis of symmetry:

x = 2.5

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Vertex=(−b/2a,c−b2/4a)Vertex = (−b/2a, c − b²/4a)
Axis−of−symmetry:x=−b/2aAxis-of-symmetry: x = −b/2a