Free · Math · Expressions & Algebra

Quadratic Formula Calculator

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

  • Checked formula
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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.

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