SOLUTION: I need to figure out this problem and it has to be solved using the square root property. Can someone please help? (x + 6)^2 = 4 further directions from my Professor are as

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need to figure out this problem and it has to be solved using the square root property. Can someone please help? (x + 6)^2 = 4 further directions from my Professor are as       Log On


   

Question 103818This question is from textbook Intermediate Algebra
: I need to figure out this problem and it has to be solved using the square root property. Can someone please help?
(x + 6)^2 = 4
further directions from my Professor are as follows:
Make sure that your work is demonstrating the solving method given in the instructions. Use the Insert and Symbols menus in Word to present the radical √ and plus/minus ± symbols. Remember that radicands must be enclosed within [ ]. Typing your work vertically is preferred but optional. If you choose to type horizontally, make sure you are appropriately using grouping symbols.
Thank You very Much! This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+6%29%5E2+=+4+ Start with the given equation


x+%2B+6+=+0%2B-sqrt%284%29+ Take the square root of both sides


x++=+-6%2B-sqrt%284%29+ Subtract 6 from both sides


So our equation breaks down to

x+=+-6%2Bsqrt%284%29+ or x+=+-6-sqrt%284%29+


x+=+-6%2B2+ or x+=+-6-2+ Take the square root of 4


x+=+-4+ or x+=+-8+ Combine like terms


So our answer is x+=+-4+ or x+=+-8+