SOLUTION: The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number. I let x be the number. x/3 = the third the number 3/x 1/3

Algebra ->  Equations -> SOLUTION: The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number. I let x be the number. x/3 = the third the number 3/x 1/3      Log On


   



Question 365063: The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number.
I let x be the number.
x/3 = the third the number
3/x 1/3 of the reciprocal
So...
x/3 - 3/x = 1/3
3x(x/3 - 3/x) = (1/3)3x
x^2 - 9 = x
x^2 - x - 9 = 0
That can't be factored, can you show me what I did wrong please?
Thank you.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
"The reciprocal of one third of a number"
%283%2Fx%29
"one third of the reciprocal of the number" is 1/3
%281%2F3%29%281%2Fx%29
.
.
.
%283%2Fx%29-%281%2F3%29%281%2Fx%29=1%2F3
Multiply both sides by 3x.
9-1=x
highlight%28x=8%29