Question

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

Answer 1

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:

$2x^2 + 8x + 3 = 0$

where

a = 2  ,  b = 8 , c = 3

As we know that

Quadratic expression

$ax^2 + bx +c = 0$

Delta = $b^2 - 4ac$

$= (8)^2 - 4 (2) (3)$

= 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