SOLUTION: Solve each radical equation. Determine any restrictions on the values for the variables. a) √5x-3 = √7x-12 b) √y-3= y-3 c) √7n+ 25 - n =1

Algebra ->  Radicals -> SOLUTION: Solve each radical equation. Determine any restrictions on the values for the variables. a) √5x-3 = √7x-12 b) √y-3= y-3 c) √7n+ 25 - n =1      Log On


   

Question 1117267: Solve each radical equation. Determine any restrictions on the values for the variables.
a) √5x-3 = √7x-12
b) √y-3= y-3
c) √7n+ 25 - n =1
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
No indication of how far the radical symbol is supposed to extend so these are ambiguous.

Taking a guess what you have for (b):
sqrt%28y%29-3=y-3
sqrt%28y%29=y-3%2B3
sqrt%28y%29=y
square both sides:
y=y%5E2
y%5E2-y=0
y%28y-1%29
-
Either y=0 or y=1.

If it was sqrt%28y-3%29=y-3
then if square both sides and simplify you should get to
y%5E2-7y%2B12=0
which is factorable and then y=3 or y=4.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your b):  is it  sqrt(y-3) = y-3          or

                 sqrt(y) - 3 = y - 3  ?


To write it unambiguously, use parentheses properly and systematically
to denote / (to separate) different parts of the formulas.   


Otherwise, your formulas are ambiguous and unreadable.


This my notice relates to all your formulas a), b) and c).


When you write/prepare your post, do not use this symbol  √ ,  since when it comes to this forum, 
we, the readers, can not understand where the square root ends. Write something like sqrt(ax+b) instead.


Actually, the files in this forum are txt-files (plain text), so please write  your posts correspondingly.

With it, welcome to this forum.

As the bonus for you, consider the lesson
    - HOW TO solve equations containing radicals
in this site.