Quadratic Formula Calculator

Created by Bogna Szyk and Dominik Czernia, PhD candidate
Reviewed by Steven Wooding
Last updated: May 18, 2022
Quadratic equations describe the curve of a parabola. They may be solved exactly for x or y by using equations devived by factorizing the equation for the case of y=0.
Bogna Szyk and Dominik Czernia, PhD candidate
Select formula and enter parameters
Formula form
Ax² + Bx + C = 0
A
B
C
Results
Allow negative discriminant
No
Discriminant (Δ)
Your function
Standard form: f(x) = Ax² + Bx + C
Vertex form: f(x) = A(x - H)² + K
Factored form: f(x) = A(x - x₁)(x - x₂)

Parabola with a > 0 and real roots

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