Question

If x*x+8x+k is a perfect square then what is the value of k .

Answer 1

Answer:

k=16

Step-by-step explanation:

Let x^2 + 8x + k be written as (x+p)^2; where p is an integer and (x+p)^2 denotes a perfect square.

(x+p)^2 = x^2 + 2px + p^2

Comparing coefficients of the two equations;

2p=8

p=4

And, p^2=k;

k=4^2 = 16