3n=squareroot of 10n-1

And

Y=squareroot of 7y-10

Help would be greatly appreciated!

4 answers

which of the following do you mean

3n = √(10n) - 1
3n = √(10n-1)
3n = √10 n - 1

The way you typed it , it would be the last one, but somehow I doubt that is what you meant.

Please clarify the above, as well as your second question in this post.
Sorry yes it is the first one
The second would be that same way
then
3n = √(10n) - 1
3n + 1 = √(10n)
square both sides
9n^2 + 6n + 1 = 10n
9n^2 -4n + 1 = 0
This quadratic has no real roots.

Are you sure you did not mean
3n = √(10n-1) ????, because then after squaring
9n^2 = 10n - 1
9n^2 - 10n + 1 = 0
(n-1)(9n-1) = 0
n = 1 or n = 1/9

if n=1,
LS = 3
RS = √(10-1) = √9 = 3 = LS

if n=1/9
LS = 3(1/9) = 1/3
RS = √(10/9 - 1)
= √(1/9) = √1/√9 = 1/3 =

so n = 1 or n = 1/9

Do the second the same way after seeing it as
y = √(7y-10)
( I can see two "nice" answers)
Yep you were right. Thank you so much. I really appreciate it.