Free · Math · Expressions & Algebra

Quadratic Formula Calculator

Solve ax² + bx + c = 0 and report real or complex roots, the discriminant, and vertex.

  • Calculation method included
  • Private in your browser
  • No signup
Go to tool
Calculator inputs

Enter your values

Result

Your calculation

Root x₁
2
Root x₂
1
Discriminant
1
Vertex
(1.5, -0.25)

How to use this calculator

  1. Enter the known values using the units shown.
  2. Choose the calculation you want when more than one method is available.
  3. Calculate, then review the result and the worked formula together.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Explore expressions & algebra or browse all math calculators.