Question

In order to solve by completing the square, what value needs to be added to

Answer 1

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

$(a+b)^2 = a^2 + 2ab + b^2$

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add $b^2$ to both sides, namely 16.

$x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33$