SOLUTION: Hi again. I have another question with my homework. This lesson is on solving square root and other radical equations. here's the question.. Solve each equation. Check for ex

Algebra ->  Rational-functions -> SOLUTION: Hi again. I have another question with my homework. This lesson is on solving square root and other radical equations. here's the question.. Solve each equation. Check for ex      Log On


   

Question 125691: Hi again.
I have another question with my homework. This lesson is on solving square root and other radical equations. here's the question..
Solve each equation. Check for extraneous solutions.
(sqrt of 7x+2)-2=7x
Thanks so much!
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(7x+2)-2=7x
sqrt(7x+2)=7x+2 can't be that a square root of a term equals the same term UNLESS the term is=1.
thus 7x+2=1
7x=1-2
7x=-1
x=-1/7 answer proof
sqrt(7*-1/7-2)-2=7*-1/7
sqrt(-1+2)-2)=-1
sqrt(1)-2=-1
sqrt(1)=2-1
1=1