Determine the nature of the roots: 2x2 + 8x + 3 = 0

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:

where

a = 2  ,  b = 8 , c = 3

As we know that

Quadratic expression

Delta =

= 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