Verified Answer :

To find the discriminant of the following equation you have to remember tha main formula :  ax^2 +bx + c and the one for discriminant is  b^2 -4ac
So, now we can solve it 
\(16^2 -4(16)(4) = 4^2-4(4)\)
\((4^2)^2 -4(4)(4)(4)-4^2 +4(4) = 0\)
\(4^4 - 4^4 = 0\)\(16^2-4*4*16=0\) , so the discriminants is 0 :) 
Hope it's clear!

Answer:

The discriminant is 0.

Step-by-step explanation:

Since, the discriminant of a quadratic equation \(ax^2+bx+c=0\) is,

\(D=b^2-4ac\)

Here, the given equation is,

\(4x^2+16x+16=0\)

By comparing,

a = 4, b = 16 and c = 16,

Hence, the discriminant of the given equation is,

\(16^2-4\times 4\times 16\)

\(=256 - 256\)

\(=0\)