Question

Find the discriminant of 4n2 – 4n – 24 = 0.

Answer 1

Answer:

Discriminant of the given function = 400

Step-by-step explanation:

Given function:

$4n^2-4n-24=0$

To find the discriminant.

Solution:

For a quadratic function:

$ax^2+bx+c=0$

The discriminant $D$ is given by:

$D=b^2-4ac$

finding the discriminant for the given function:

$4n^2-4n-24=0$

$a=4\\b=-4\\c=-24$

Plugging in values:

$D=(-4)^2-4(4)(-24)$   [Product of two negative will make a positive]

$D=16+384$    [Product of two negative will make a positive]

∴ $D=400$ (Answer)

Discriminant of the given function = 400