How do you solve \frac { 1} { x } + \frac { 1} { 3} = \frac { 8} { 3} x?

1 Answer
Mar 15, 2017

x=(1+-sqrt(97))/16

Explanation:

First you would subtract 1/3 from both sides
this would give you 1/x=(8x-1)/3
then you would cross multiply to get 3=8x^2-x
subtract 3 to get 8x^2-x-3
use the quadratic formula:
(-(-1)+-sqrt((-1)^2-4(8)(-3)))/16
that simplifies to (1+-sqrt(97))/16