SOLUTION: Hello! Could you solve this problem? Thanks. Solve the equation. Check for extraneous solutions. {{{ x+5 = sqrt( 20x+9 )}}}

Algebra ->  Rational-functions -> SOLUTION: Hello! Could you solve this problem? Thanks. Solve the equation. Check for extraneous solutions. {{{ x+5 = sqrt( 20x+9 )}}}       Log On


   

Question 721178: Hello! Could you solve this problem?
Thanks.
Solve the equation. Check for extraneous solutions.
+x%2B5+=+sqrt%28+20x%2B9+%29

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5=+sqrt%2820x%2B9%29

square both sides
%28x%2B5%29%5E2=+20x%2B9
x%5E2%2B10x%2B25=20x%2B9

x%5E2-10x%2B16=0

x%5E2-8x-2x%2B16=0
+x%28x-8%29-2%28x-8%29=0
(x-8)(x-2)=0
x= 8 or 2