madisonvidrine madisonvidrine
  • 17-06-2020
  • Mathematics
contestada

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

Respuesta :

andromache andromache
  • 22-06-2020

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

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