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

Coefficient a

Coefficient b

Coefficient c

Results

Example

Discriminant

Root 1 (x₁)

Root 2 (x₂)

Vertex X

2.5

Vertex Y

-0.25

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About the Quadratic Equation Solver

Solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula. Enter your details above and the result updates instantly — no sign-up and no waiting.

What you can work out

Discriminant
Root 1 (x₁)
Root 2 (x₂)
Real Part
Imaginary Part
Vertex X