What is the solution of square root 5x+1 - square root x = 5?

Question

phi · Answer

$$ \sqrt{5x+1} - \sqrt{x} = 5 $$?

anonymous · Answer

yes

phi · Answer

add - sqrt(x) to both sides to get
$$ \sqrt{5x+1} = 5 +\sqrt{x} $$
now square both sides.  can you do that ?

phi · Answer

*add +sqrt(x) to both sides

anonymous · Answer

5x+1=25+x

phi · Answer

the 5x+1 is on the left side is ok.

but not the right side.  do you know FOIL?
(5 + sqr(x)) ( 5 + sqr(x) )
gives 4 terms.  

try again

phi · Answer

Here is a short video that shows how to multiply http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying-binomials/v/multiplying-binomials

phi · Answer

you will get  
$$ 25 + 5 \sqrt{x} + 5 \sqrt{x} +x $$
you can combine the "like terms" to simplify it to
$$ 25 + 10 \sqrt{x}  +x $$
and your problem is
$$ 5x+1=25 + 10 \sqrt{x}  +x $$
now add -25 to both sides and -x to both sides.

can you do that ?