Question

find the discriminant of the quadratic equation 2 X square + X + 4 is equals to zero hence find the nature of its roots ​

Answer 1

The discriminant of the given quadratic equation = - 31 and the quadratic equation has no real roots.

Step-by-step explanation:

The given quadratic equation:

$2x^2+x+4=0$

Here, a = 2, b = 1 and c = 4

To find, the discriminant of the given quadratic equation = ? and

The nature of ithe roots of quadratic equation = ?

∴ Discriminant, D = $b^{2}$ - 4ac

= $1^{2}$ - 4(2)(4)

= 1 - 32

= - 31

∵ D < 0, There is no real roots of quadratic equation.

Thus, the discriminant of the given quadratic equation = - 31 and the quadratic equation has no real roots.

Answer 2

Answer:

this is the right answer ☺️