Question

Solve by extracting roots: (x+2)^2-7=0

Answer 1

add 7 to both sides... what equation you have now?

Answer 2

\[x+2=\pm \sqrt{7}\]

Answer 3

That's correct. Just need to subtract both sides by 2 to solve for x.

Answer 4

\[x=\pm \sqrt{7}-2\]

Answer 5

\[x=-2\pm \sqrt{7}\times \sqrt{-2}\]

Answer 6

I mean sqrt(-2)...

Answer 7

I was looking at examples in the book and it says that you are to multiply sqrt (-2) over sqrt (-2)

Answer 8

That could be for a different problem not really similar to your current problem. Because right now, it is already correct without the multiplication of sqrt(-2).

Answer 9

Do you know also that \[\sqrt{-2}=2i\]
which is am imaginary number.

Answer 10

yes

Answer 11

Okay then. Glad to be of some help tonight.