can quadratic equations have two imaginary solutions? Explain

Question

this is a question that i need help. 

Answer 1

Yes.  A quadratic always has two solutions.  They could be two real number solutions (the parabola crosses the x-axis in two places), one real number double solution (the parabola just touches the x-axis in one spot) to two complex (imaginary) solutions where the parabola doesn't cross the x-axis.