Quadratic Equation Calculator — Free Online Tool

This online Quadratic Equation calculator helps you solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula in seconds. Enter your inputs and get an instant result with the formula explained, ready for budgeting, planning, or quick decisions.

Equation: ax² + bx + c = 0

Results

Discriminant
1.0000
Root 1 (x₁)
3.0000
Root 2 (x₂)
2.0000
Real Part
2.5000

For complex roots

Imaginary Part

For complex roots

Vertex X
2.5000
Vertex Y
-0.2500