what kind of solution does ax^2 -bx + c = 0 have if b^2 - 4ac < 0

Question

I think an ellipse.. is this correct?

Answer 1

First, that is not a graph.

Did you mean

y=+-sqrt(ax^2+bx+c?) if a>0, it is an ellipse, if a<0 it is a hyperbola.

So othewise, I don't know what you are asking. if b^2-4ac less than zero, then the roots are not in the real domain.