Question

The sum of one third of a number and its reciprocal is the same as 49 divided by the number. Find the number.

I believe the way it is set up is:
1/3x + 1/x = 49/x
or
x/3 + 1/x = 49/x

Answer 1

okay that was wrong, you have
\[\frac{x}{3}+\frac{1}{x}=\frac{49}{x}\] that is a good start

Answer 2

multiply both sides by \(3x\) to get
\[x^2+3=147\]

Answer 3

this gives \(x^2=144\) and so \(x=12\) or \(x=-12\)

Answer 4

Thanks again !!!!:D