Quadratic Equation Formula — Calculator and Worked Example
The Quadratic Equation formula is shown below alongside our interactive calculator. Enter your own values and we apply the formula step by step so you can see exactly how the result is derived.
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