Posted by Brandi on .
To Reiny:
Hi, thank you for your time Reiny and your info. I am so sorry but on the first one I accidentally put 0 where I should have put =9. In other words, the first equation should have said (9n+1)squared =9. Really sorry to have taken up your time with the wrong equation, but if you are able to help me out again, with the right one, I would appreciate it. Also, I am unfamiliar with the sign you use that looks like a check mark, could you please advise what the sign means? Thanks for your help!

Math 
Jai,
Hi. I've seen your previous post. I'll try answering them. :)
(9n+1)squared = 9
We expand the term with the square:
(81n^2 + 18n + 1) = 9
81n^2 + 18n + 1  9 = 0
81n^2 + 18n  8 = 0
Factoring,
(9n + 4)(9n  2) = 0
n = 4/9 and n = 2/9
Note that there are two values of n.
The sign that looks like a check mark in #2 is a squareroot sign.
I'm not Reiny but I hope you can trust my answer.
Hope this helps :3 
Math 
Kuai,
(9n+1)^2 = 9
9n + 1 =+ 3
9n +1 = 3
9n. = 4
n = 4/9
9n + 1 = 3
9n = 2
n = 2/9
4/9, 2/9