If $\left(x+\dfrac{1}{x}\right):\left(x-\dfrac{1}{x}\right)=5:4$, then find the value of x.
Cross multiply
5x - 5/x = 4x + 4/x
x = 4/x + 5/x
x = 9/x
x^2 = 9
x = +- 3 I would sub in both of those values to see if true !
Excellent
+36916 
