Answer:
D. This quadratic equation two complex solutions.
Step-by-step explanation:
[tex] 5x^2 +6x +2= 0\\[/tex]
Equating it with
[tex] ax^2 +bx +c= 0\\[/tex]
a = 5, b = 6, c = 2
[tex] b^2 -4ac\\= 6^2 - 4\times 5\times 2\\
= 36-40\\
b^2 -4ac= - 4\\
[/tex]
[tex]\because b^2 -4ac[/tex] is negative.
Therefore, this quadratic equation two complex solutions.