Question

Solve by completing the square
x^2+16x=-2

Answer 1

What step do you not understand?

Answer 2

What value do I need to add to both sides?

Answer 3

(B/2)^2

Answer 4

Look at it like this: you're creating a square which GIVES you more than you need, so you need to remove that scruff.

Answer 5

So if you have x^2+b+c=0, the square you want will be (x+b/2)^2, but (x+b/2)^2=x^2+bx+(b/2)^2
(x+b/2)^2=x^2+bx+ --->(b/2)^2<--- THIS, you need to remove in order for you to be able to make the square.

Answer 6

16/2=8
8^2=64. You'll add 64 to each side

Answer 7

x^2+16x+64=-2+64
(X+8)^2=62
X+8=pos or neg sqrt62
X= -8 + sqrt62 or x =-8-sqrt62