Calculate Quadratic Equation — Online Calculator with Formula

Need to calculate Quadratic Equation? This free online tool helps you solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula instantly. We show the formula, plug in your numbers, and explain each step so you understand the result.

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