Question

NEED HELP!! Algebra Quadratic Equations and Functions

Answer 1

D. 64

Explanation:

Hello,

you know the discriminant and that if it is equal to 0 then the polynomial is a perfect square. So we need to solve

`b^2-4ac = 0`

in this example it means that we need to find c so that

`16^2-4c=0\\<=>4c = 256\\<=>c=256/4=64\\`

so the solution is 64

and we can verify is as

`x^2+16x+64=x^2+2*8*x+8^2=(x+8)^2`

hope this helps