SOLUTION: I have tried and tried and I cannot figure this out. Please Help. I am supposed to solve this radical equation: &#8730;(2x+9)^2 < 3

Algebra ->  Radicals -> SOLUTION: I have tried and tried and I cannot figure this out. Please Help. I am supposed to solve this radical equation: &#8730;(2x+9)^2 < 3      Log On


   

Question 706348: I have tried and tried and I cannot figure this out. Please Help.
I am supposed to solve this radical equation:
√(2x+9)^2 < 3
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282x%2B9%29%5E2%29+%3C+3
square both sides
%282x%2B9%29%5E2%3C9

4x%5E2%2B36x%2B81%3C9
4x%5E2%2B36x%2B72%3C0
/4
x%5E2%2B9x%2B18+%3C0
x%5E2%2B6x%2B3x%2B18%3C0
x%28x%2B6%29%2B3%28x%2B6%29%29%3C0
%28x%2B6%29%28x%2B3%29%3C0

either x+6<0
ie: x<-6
OR x+3<0
x<-3
-6>x<-3