SOLUTION: Solve: (x + 2)^2 = 7 My answers are: a) 2 plus minus sqrt7 b) plus minus 47 c) -2 plus minus sqrt7 d) plus minus sqrt 47 I do not understand how they end up with roots? Th

Algebra ->  Equations -> SOLUTION: Solve: (x + 2)^2 = 7 My answers are: a) 2 plus minus sqrt7 b) plus minus 47 c) -2 plus minus sqrt7 d) plus minus sqrt 47 I do not understand how they end up with roots? Th      Log On


   



Question 69887: Solve:
(x + 2)^2 = 7
My answers are:
a) 2 plus minus sqrt7
b) plus minus 47
c) -2 plus minus sqrt7
d) plus minus sqrt 47
I do not understand how they end up with roots? Thank you for the help on this one!

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%28x+%2B+2%29%5E2+=+7 Lets first take the square root of both sides:
x%2B2=+0%2B-+sqrt%287%29
Next, we'll subtract 2 from both sides:
x%2B2-2=-2%2B-sqrt%287%29 simplifying
x=-2%2B-sqrt%287%29

Hope this helps---ptaylor