Quadratic Formula Calculator

\(ax^2 + bx + c = 0\)

How To Use the Quadratic Formula Calculator 

This online calculator will solve a quadratic equation (of the form ax2 + bx + c = 0) using the quadratic formula. All you have to do is enter in a, b, c (which are the coefficients in the equation).

The output will be the real / complex roots that solve the equation. As a refresher, here is how many roots one should expect based on the values of a, b, and c. 

  • When b2−4ac=0 there is one real root.

  • When b2−4ac>0 there are two real roots.

  • When b2−4ac<0 there are two complex roots.

Important Considerations 

  • The polynomial must be second-order, such as ax2 + bx + c = 0

  • a ≠ 0 

What is the Quadratic Formula?



a, b, c=constants, where a ≠ 0
x=the unknown

Quadratic Formula Example

x=−b±√b2−4ac2a x = − b ± b 2 − 4 a c 2 a 

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