Answer:
A)
[tex]b^{2}-4ac=-12[/tex]
Step-by-step explanation:
1) To answer this question, we must remember what this discriminant stands for:
[tex]\Delta =b^{2}-4ac[/tex]
2) We must plug in this discriminant, in the square root of Quadratic Formula, to find its roots, i.e.:
[tex]x=\frac{-b\pm \sqrt{\Delta }}{2a}[/tex]
The discriminant is a radicand.
3) The graph above shows us no Real roots for this equation then we have roots ∈ Complex Numbers, in other words:
[tex]x', x'' \in\:\mathbb{C}[/tex]
4) So, it's A.
