SOLUTION: Solve algebraically. √(x^2+5x+11) = x+3 The book says x=2, but I cannot for the life of me figure out how they got there. I just confuse my brother as I try to help. T

Algebra ->  Radicals -> SOLUTION: Solve algebraically. √(x^2+5x+11) = x+3 The book says x=2, but I cannot for the life of me figure out how they got there. I just confuse my brother as I try to help. T      Log On


   

Question 143118This question is from textbook Algebra 1
: Solve algebraically.
√(x^2+5x+11) = x+3
The book says x=2, but I cannot for the life of me figure out how they got there. I just confuse my brother as I try to help.
Thx
This question is from textbook Algebra 1

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%28x%5E2%2B5x%2B11%29+=+x%2B3 First, square both sides of the equation.
%28sqrt%28x%5E2%2B5x%2B11%29%29%5E2+=+%28x%2B3%29%5E2
highlight%28x%5E2%29%2B5x%2B11+=+highlight%28x%5E2%29%2B6x%2B9 Now subtract x%5E2from both sides leaving you with:
5x%2B11+=+6x%2B9 Next, subtract 5x from both sides.
highlight%285x-5x%29%2B11+=+highlight%286x-5x%29%2B9
11+=+x%2B9 Finally, subtract 9 from both sides.
2+=+x or x+=+2