Answer:
Discriminant of the given function = 400
Step-by-step explanation:
Given function:
[tex]4n^2-4n-24=0[/tex]
To find the discriminant.
Solution:
For a quadratic function:
[tex]ax^2+bx+c=0[/tex]
The discriminant [tex]D[/tex] is given by:
[tex]D=b^2-4ac[/tex]
finding the discriminant for the given function:
[tex]4n^2-4n-24=0[/tex]
[tex]a=4\\b=-4\\c=-24[/tex]
Plugging in values:
[tex]D=(-4)^2-4(4)(-24)[/tex] [Product of two negative will make a positive]
[tex]D=16+384[/tex] [Product of two negative will make a positive]
∴ [tex]D=400[/tex] (Answer)
Discriminant of the given function = 400
