Quadratic Formula

The solution to a quadratic equation that has been placed in the standard form

is given by the quadratic formula

Enter values for the coefficients and click outside the data boxes to initiate the calculation.

a = , b = , c =

The quantity b2 - 4ac =

For b2 ≥ 4ac there are two real roots:

x+ = and x- =

If b2 < 4ac then the roots are complex numbers:

x+ = + j

and its complex conjugate x- = - j

Physical applications of the quadratic formulaBallistic trajectories
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