# Parabolas and Complex Roots

Not what you're looking for? Search our solutions OR ask your own Custom question.

How many times does the graph of a quadratic equation (a parabola) cross the x-axis?

I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if the vertex of a parabola is the origin itself, the two points are coincident,

But what if the roots are complex? How many times would the graph cross the x-axis.

Â© BrainMass Inc. brainmass.com March 4, 2021, 8:11 pm ad1c9bdddfhttps://brainmass.com/math/complex-analysis/parabolas-complex-roots-151209

#### Solution Preview

Such a parabola is not possible in the real plane. If you can draw the parabola on x-y plane, it should have two real roots.

I am not quite understanding ...

#### Solution Summary

Parabolas and complex roots are discussed in the solution.

$2.49