Question

x/3= 2/x what is the value of x? I'm looking more for the process than the answer (although that would be nice too :)

Answer 1

\[x^2=6\]

Answer 2

multiply both sides by 3
x=6/x
then by x
\[x^2=6\]\[x=\sqrt{6}\]

Answer 3

a faster way is to see ahead that by multiplying the whole thing by 3x gets rid of all the fractions at once, but that takes a little practice to see so quickly.

Answer 4

Thank you, both answers helpful :)