Quadratic Equation Solver
x² +
x +
= 0
Roots:
3.00, 2.00
Discriminant (Δ)1
Vertex (h, k)(2.5, -0.25)
Sum (-b/a)5.00
Product (c/a)6.00
Visual Graph
Blue line represents the Parabola.
How it Works
The standard form is $ax^2 + bx + c = 0$. We use the Quadratic Formula:
x = [-b ± √(b² - 4ac)] / 2a
The Discriminant ($b^2 - 4ac$) tells us the types of roots. If it's negative, roots are complex (imaginary).