Answer:
the nature of the roots of an equation is real, distinct and irrational
Step-by-step explanation:
Given Data provided in the question according to the question is as follows:
[tex]2x^2 + 8x + 3 = 0[/tex]
where
a = 2 , b = 8 , c = 3
As we know that
Quadratic expression
[tex]ax^2 + bx +c = 0[/tex]
Delta = [tex]b^2 - 4ac[/tex]
[tex]= (8)^2 - 4 (2) (3)[/tex]
= 64 - 24
= 40
Here,
Delta > 0, it does not contain perfect square
Therefore the nature of the roots of an equation is real, distinct and irrational
